There are many activities for little girls, most of which are aggressively advertised to them, with many many little girls gravitating towards them without anyone pressuring them into it, that allow you to learn these things.
Little girls play with dolls, and the dolls come in boxes specifying where the doll is going and what outfits she's wearing for the occasion. Little girls dress themselves up in princessy outfits and throw fake tea parties where they pretend to have table manners (and therefore learn them). Little girls watch movies about noblewomen in ballgowns. They take dance lessons and also acting lessons and also other types of performing arts lessons where they need to wear skirts and walk and talk in specific ways (and wear stage makeup!). There are huge giant doll heads on which little girls can practice doing makeup. There's an infinite number of activities for little girls where they can learn about explicit rules for how to be a girl, we don't need to impose the formal-setting-only rules onto them while they're performing other types of equally developmentally important activities, such as being physically active or being in nature.
Clothes and makeup are also competences that require basically zero social skills. The skills you need are the skills of a graphic designer, basically: you need to understand that Comic Sans doesn't make your webpage look formal but a nice Serif font does, and you need to know some colour theory. All of which girls' female relatives and friends readily point out to them at appropriate occasions. And all of it is completely orthogonal to looking feminine OR being restricted physically: you can be perfectly cozy and physically active in a loose skirt, and you can be formally dressed in a very constricting masc three-piece suit, and both of those can look fashionable and be competently styled. Even if you start off in your teens or as an adult, you'll learn to be passable at it in like a couple of months, and there's a myriad of resources telling you how because society thinks it very important to explicitly teach women how to do it. If I wanted to learn how dress for my colouring or body type or aesthetic or chosen occasion a quick Google search would spew up hundreds of thousands of words of explicit instruction, many of which in a visual format and with dozens of examples. And a large chunk of them focus on what's considered more widely attractive, because whether women are attractive and why is an inescapable topic in modern culture. And it, once again, has more to do with art skills than it does with social skills: if you can understand why a certain video game character is widely considered cool and then reproduce those aesthetic traits, you can do the same with what's considered sexy/conventionally attractive, and as a woman you have enough resources on that to last you a lifetime.
OTOH autistic women also struggle with recognizing that someone is flirting with them, or being successful at dating, because you simply cannot successfully learn those things without getting good at constantly fine-tuning your interpretation of a complex social situation based off of minute constantly changing and highly contextual cues. No amount of explicit instruction will help if you can't do this sort of reasoning constantly while the situation is happening, similarly to how no amount of explicit instruction at playing volleyball can fix naturally poor hand-eye coordination. That's not how it works.
Socially competent men usually "feel out" the situation by being vague yet suggestive, observe how the other person reacts, and use this for their cues on whether to escalate and how much: they'll give off a bunch of tiny ambivalent hints (that they can play off as jokes to maintain the social harmony and status quo if they don't work) and then observe whether the woman responds favourably or builds on it with her own tiny just a shade less ambiguous hints, to which he will then again slightly escalate, until at least one of them is reasonably sure that the other one will say yes if they ask for a date. If you've heard of Charles Osgood's GRIT conflict deescalation technique, or Salami tactics in diplomacy, it's the exact same principle. Women also very VERY frequently start with the subtle hints first - how many couples do you know where they can't agree who started flirting with whom? - and the eventual formal invitation on a date traditionally being the man's job is quite frankly just a formality, as are most "dating rules", because they're often the culmination of an implicit mutual agreement that has already been reached, well, implicitly over the course of the interaction.
If the girl is autistic or otherwise has poor social skills (or low self esteem that makes it so she doesn't interpret the situation as flirting), most guys will interpret her lack of follow up as her not being interested, take the hint, and give up, and the ones who keep on insisting are people who are either creeps who can't take no for an answer or guys who are both creeps and have poor social skills (the guys with poor social skills who aren't creeps tend to just be very very passive, as you yourself attest to). So she's not gonna be any luckier in dating than you are - it's the autism that's the problem, because this type of social skill can't be taught as a series of rules - not her gender. Autistic women also struggle making friends with women who aren't autistic, because those relationships also often require this level of reading the room, especially in adolescence and young adulthood, and they're not explicitly taught any of that either, and they suffer for it a lot. Like, A LOT. Which you can discover by listening to their experiences.
The reason people are dogpiling on you is because you're equating gendered things unrelated to social skills that can be taught very easily (if you managed to learn that you need to wear business clothes to a job interview without being forced into them every day as a child, a woman with your equivalent intelligence and social skills can manage to learn when she should wear a skirt and how, trust), with social skill problems inherent to autism as a disability, as if femininity=being pretty and wearing makeup (because boys like it!) and masculinity=being assertive and charming (because girls like it!), so only men are required to ever have social skills (that they can then use to display their masculinity) and girls can just coast on their looks. This comes off as very sexist to some.
If these are your starting premises, and some more of your starting premises are that being good at dating can be taught through explicit instruction (on what "the man's role" is), you can't get mad when people aren't helping you because it's quite impossible to help you on your own terms.
Successful dating isn't about "playing the role of man correctly", it's about "being very good at handling emotionally fraught and highly ambivalent social situations", and anyone who tries to tell you it's the former is some sort of grifter. And these grifters are often sexist weirdos so this type of discourse eventually grew to be associated with them, unfortunately. Any "dating rules" can be done away with if what I previously described about the underlying implicit communication and constant adjusting to each other is correctly done - for example, if a guy is sending out many correctly done signals that he likes a woman, and there's a natural back-and-forth, but he isn't asking her out, most women will bite the bullet and ask him out themselves eventually, because based off of the social cues present they'll conclude, "he likes me but he's shy", and the ones who don't are women who don't like shy guys and reject him based on that (which isn't most women, btw). OTOH if the implicit part is not there, no adherence to good manners or formal dating rules or displays of masculinity will save you, because you'll come off as robotic, and the non-autistic person will be confused and put off because your explicit words don't match the message you're sending on a more implicit level. The reason "dating coaches" just tell you to go and get rejected a lot before you pick it up is the same reason basketball coaches tell you to try throwing the ball into the hoop many times - they hope that you'll pick it up intuitively and learn how to instinctually recognize where the ball's gonna land and subtly adjust your grip and the force of your throw. But if you have a coordination disorder this won't help you. And most people without a coordination disorder won't be able to give you specific instructions on how to do it because they just threw the basketball a lot until they got the hang of it naturally.
When you start talking about all these rules and how to do this and how to do that expecting formal instructions on the level of some kinda video game walkthrough, which is what socially incompetent guys do, most people recognize that the approach itself is wrong because to them it's obvious that what they're asking for won't help. They're doing allat correctly quite subconsciously, and they'll at best try to come up with some half-assed explanation for why something should or shouldn't be done on the fly when really whether it worked or not and on whom is just ridiculously contextual and intuitive ("it doesn't matter whether you ask her out first", she'll say thinking of the guy who did everything else correctly and also had the type of personality, looks, and interests that she liked; "ugh men giving you compliments is annoying", she'll say thinking of the guy who ignored all her hints about not being interested, while ignoring how she melts on the spot when given one in the right context and at the right time, etc). The only reason I can break it down to you as granularly as this is because I have a PhD in child social development and like 15 years of being good at dating behind me. The advice the autistic or otherwise socially incompetent girl is given won't be much better or more useful than the advice you're receiving, btw, nor will she be better than you at comprehending it.
I somewhat agree that men in leftists spaces are often treated abysmally and automatically assumed to be the eeevil enemy, but your specific gripes are more about having the sucks at social interaction disorder than they are about gender, and you're kinda missing the point of the OG post's main message by a huge margin (and so is the woman mentioning her etiquette lessons btw - you don't need to wear a skirt at school or in the park to be taught etiquette).