Being socialised is not a force of nature, because that implies that it’s non-changeable. It’s a societal choice to prioritise certain things and deprioritise others, to raise our kids to believe certain things, to allow the use of marketing in ways that reinforce existing beliefs, and so on and so forth. I find it weird that you consider “women” to be a homogenous group who all want the same thing and agree on exactly the method of achieving it, btw, as implied by your suggestion that a female teacher would never do anything that might hurt a girl’s sense of self worth.

I don’t know why studies suggest that boys are often better at correctly estimating (or maybe overestimating?) their skill level, but there’s lots of potential reasons aside from “biology” and “bad study”. Perhaps boys are just told “fake it til you make it” more often, and do so. Perhaps girls focus more on grades than boys in school for whatever reason, and the grading system is just set up to demoralise people in general. There’s a hundred thousand possible explanations - but they’re irrelevant to the point being made that if this is happening, then in order to encourage people who already believe these things about themselves to apply for a job, thinking about how to change your job posting to fit people with those beliefs is a good idea.