They already hail largely from top 50 colleges[0][1], for instance.
We know that Ivy League graduates have better access to opportunity and privilege than anyone else, there's enough out there on this that I would consider it common knowledge by now.
[0]: https://academicinfluence.com/rankings/schools/which-college...
[1]: Note, I didn't say Ivy league, but arisotricatic institutions. These include many state universities with large alumni endowments and historical privileges.