You're SO close to getting it.
Yes, women can act against their own self interests but men do EXACTLY the same shit all the time. Just look at MAGA midwest farmers voting for Trump and losing their farms.
Painting that as a "woman thing" when it's just a stupid people thing is what's sexist. Correlation doesn't prove causation but lack of correlation DOES disprove it.
It's a dogshit point because it's an (inaccurate) cherry-picked example that ignores the full body of data outright discrediting the conclusion.
I feel like associating women in general with Shura is an insult to women.
But, I think that while this is a heated political thing with the gendered options and such, we have to step back from groupings of people and focus in on the fact that
this girl in particular is the worst person to give any form of power to.
Despite being a high standing figure, her aids and teachers didn't teach her about how people will manipulate things to pull favor or ruin someone else's standings, didn't teach her how the political situation worked in the land she is a guest in, and worst of all, didn't teach her not to be a god damn dumbass.