> That means the most talented and impressive young man who applied and didn’t get in is objectively more talented and impressive than the least talented and impressive (though still extremely talented and impressive) woman who applied and got in.

That is a hasty generalization fallacy. That presumes the applicant pools were comprised of the same quality of applicants.

It could also be that there are simply more young men than young women willing to go to a tiny, expensive and boring undergraduate program.