>All that is evidence of is that women give up more often than men

Yes, that's the point.

>That doesn't provide any evidence that it's because men's value is tied to achievement.

Indeed, that's what we're offering a potential explanation for.

>I could just as readily argue that women give up more than men because they have stronger priors of tech not being for them

Then do so. Saying "I could make a bunch of other arguments but won't because I know they are contradicted by evidence" is not compelling. In fact, I find it inherently dishonest, in that you are trying to rely on the assumption that any other random explanation you could put forth is just as good, but you won't put them forth because then they would be demonstrated to not be just as good.