Earlier quoted context omitted.
Your assumption relies on the women getting into the field are the best women. I don't see why that would be true. The fields with many women like law, medicine or psychology are much harder to get into than computer science or engineering so most of the best women likely ends up there.
Given that as a woman you don’t benefit from the “competency bias” and constantly has to prove yourself (which is not necessarily bad), combined with the fact that many women simply walk out of careers in computer science and physics because of sexism/harassment, you could consider that the women left are indeed more competent than the average man in the industry.
As for fake resume studies, the problem with those is that male and female resumes are evaluated differently. If they made a male looking resume and sent it out with a female name it will do badly. But a female looking resume with a male name will also do badly.