Earlier quoted context omitted.
"Being socialized" would be a force of nature. Anyway, they are not - who would do that, and why? The mostly female teachers? And somehow girls would still do better than boys in school, despite constantly being told they are bad? Actually the opposite is the case - studies have shown that boys tend to get worse grades than girls for the same level of performance. So wouldn't that be socialization of underestimating…
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 exact…
It is fine to try to attract more people to your job, if that is what you want. However, if the problem is "women underestimate their skills", perhaps it would be better to work on women having higher estimates of their skills, than on downscaling the demands of jobs.
Women are free to go to career counseling and learn to correctly estimate their skills. Like everybody else. Bookshops are full of books with career counseling, too. I bet you can even get free advice on the internet. If you want to, you can learn to succeed, even as a woman.
The whole discussion is moot. You are free to believe that women tend to underestimate their skills, and men tend to overestimate. It just happens to neatly align with feminist theory that men are worthless windbags, but if that is your world view, ok.
If you are looking for papers, you can find plenty that contradict your theory. For example today I saw another big study showing "Stereotype Threat" has no effect on girl's performance on Maths. So even if girls are told they are bad in Maths (which I doubt is happening on significant scale, but whatever), at the very least it doesn't affect their performance.