You’re implying that there’s some crypto-right-wing people somewhere in the university and that these people are solely responsible for legacy admissions, but you’re not even willing to state this absurd implication, let alone provide any evidence for it.

I'm not implying anything. I am forwardly stating that you are generalizing a very diverse group of institutions.

I think the thing to understand is that university professors are upper middle class.

They are not particularly aligned with the working class or with leftism. They're usually centrists or liberals.

I think your confusions stems from believing that liberals are the left. Liberals however, are pro-free trade ultra-propertarians. Liberals are to the right of anti-free trade populists.