Does chapas deal with Zeus in the pjo au come from a bit of self consciousness about her own godly parent?
Like, a kind of “yeah man being the kid of the king of gods would be great” in place of a cool but minor god?
ohh very fun question <3 because. there are several things going on with that.
first, there's the most basic level of reasoning on her part- children of zeus are powerful. more powerful than her, or any of her friends. and now the four of them are finding themselves constantly facing threats they're not prepared for- and chapa's default strategy in a lot of those situations is intimidation. use what you can to make yourself seem like more of a threat, give yourself the advantage of a nervous/uncertain enemy. that's how you can keep your friends alive.
and the thing is- chapa didn't lie about it it the first time that trick worked to help them win a fight. the first time it happened, it was just some mythological being looking at the demigod kid trying to stab them, seeing the lightning powers, drawing the logical conclusion, and deciding they were Not prepared to deal with that today.
and chapa doesn't actually realize what had been going on there until she learns a bit more about the demigod world.
and at that point, she's seen a few older demigods get visibly nervous upon seeing her powers - because the AU prophecies are different from PJO canon, but the rule against the big three gods having kids is still very much there - and then relax once they've pieced together that she's almost certainly a child of astrape, not zeus.
so. she knows by now that zeus isn't supposed to have kids, and she knows that it would cause lots of problems for everyone if she had been a child of zeus-
but. she also knows that children of zeus are intimidating. and she knows that intimidation can be the difference between life and death. and chapa's already decided that any of them dying is not an option, no matter what.
so. that's around the time she starts taking advantage of the assumptions.
second, there's a crucial aspect of her character that plays a role in that as well. consistently, from her very first introduction in canon- chapa wants to be taken seriously. and that does somewhat play into her feelings about being the child of one of the much more minor gods.
because- it's not that she spends a lot of time thinking about the fact that she's the only one of them whose godly parent isn't one of the twelve olympians. it doesn't bother her too much; she's good with a sword, good with her lightning- she's probably the best fighter of the four of them. they've never had any reason to doubt her abilities.
it's just. when she does think about it, every once in a while- there's a bit of discomfort there. a faint prickle of irritation, unease. mostly during the time she's actually at camp instead on the run (early on) or on a quest (later on). because that's when she's actually around demigods other than her friends. that's the only time she has to deal with the subtle idea that the gods aren't really all that invested in the kids of minor gods.
and there's a bit of detachment on her part, she isn't all that interested in the gods' opinion of her overall- but. the urge to be taken seriously is very much there. and that maybe does factor into the frequent lying about her parentage- because. regardless of the consequences- there's no denying that that has enemies taking her seriously.
third, perhaps a bit less relevant than the other two points, but. she does feel a bit weird and conflicted about the fact that she's technically facing much less of a threat from monsters than the other three.
because- mika and miles were two significantly powerful children of apollo living in the same house, they were facing the most monster attacks as kids. bose wasn't dealing with as many as the twins, but aphrodite was still a major goddess, so he was still in a lot of danger.
chapa, on the other hand- she was still in danger, but with astrape being a minor deity, she was notably less easy for monsters to detect.
and she has. complex feelings about that. something about how fighting comes easily to her, it always has- but she's also the one who would be in the least danger if she was on her own. and it's not quite guilt, exactly- but. something about it does feel a bit unfair.
so. potential of that also being a factor. she's confident in her fighting abilities, so- it's a surefire way to get an enemy's attention off of the others and onto her so she can tear them to pieces. maybe a bit of a risky strategy, but- hey, they haven't lost a fight yet, right?
(...she. might be a bit too confident in that mindset. <3 and - as you know - the Plot has some things to say about that. <3)
thanks for the ask!! :D <3