Okay Zero, who's the worst. Eobard or Joker?
Joker is the worst when it comes to Batman. He's Bruce's narrative foil and his raison d'Γͺtre, he's the embodiment of everything Batman fights (and abhors) and in a meta sense, he's also queer, flamboyant and immoral while Batman is straight, serious and righteous.
However, Joker is also someone Bruce can't live without.
He's possibly the only one who truly, intimately understands Batman and why he does the things he does. And he doesn't even judge him! Joker is happy that Batman is Like Thisβ’, the good and the bad, wouldn't want to change him, accepts him exactly the way he is, whereas Bruce's loved ones will always have something to say about who Batman is and how he does what he does.
And for all his talk about how wrong everything Joker represents is, also the other way around is true. Bruce understands Joker (so much so that sometimes he's scared by this) and at this point in his "career" basically needs him to function.
Eobard is the worst when it comes to Barry. He's is so fast and so unhinged that when he's involved, it's an All Hands On Deck situation and all the other speedsters need to come and help stop him. He is the Reverse Flash, literally, but not just because of the Negative Speedforce - where Barry forgives, Eobard holds perennial grudges. Where Barry gives a second chance (and a third and fourth and a fifth and a sixth and a-), Eobard will declare you're his mortal enemy at the slightest offense. Where Barry is full of unconditional love, Eobard has no idea what does it even feel to love and be loved and cannot simply conceive it. Which is part of why Eobard wants to be Barry (he has a perfect life), but also wants to have him (no one should ever be close to Barry but Eobard himself), but also hates him so much: everyone loves Barry, but how can Barry possibly love everyone back?
For Eo love is a quantifiable thing, and it's quantified in the attention you give, and so it's impossible that Barry is sincere when he claims to love all the people he loves. It's just not possible. He must be lying.
But Eobard is also the person who knows Barry better than anyone else. Eo is the cause of a lot of his pain and turmoil, and recognizes this. Where other people belittle Barry's feelings and don't take his suffering seriously, urging him to just get over it, Eobard understands. Barry is the reason why he exists and in his distorted, psychotic way Eobard is devoted to him like to a divine being, and will never let him go, and will always feel for him what he can't feel for anyone else, because there isn't enough room in his heart for anyone but Barry.
If the question was "who can make more damage between Joker and Eobard", then obviously Eobard. If we don't count the meta stuff that applies only to Batman, Joker is just an unpredictable serial killer. Eobard is a chronomancer who can fuck your life up starting from when you weren't even born (in fact, he can make it so you never will be born at all), and change the literal course of time. Then there are also all the average speedforce abilities.
If the question was "who did more awful things between the two", then I'm going to have to use a meta answer and say Joker - Eobard doesn't appear in all that many DCU medias, while Joker is everywhere, and so going by numbers he did more damage because he had more chances to. But his reach is human, Eobard can erase an entire timeline if he so wishes, so it's two very different ballparks anyway.
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