Just because they list higher stats doesn’t mean that is what they are basing admissions on. If you review the GT thread this year, many perfect “stats” kids got rejected.
I think what you are seeing is that top schools attract top students. When stats rise, rank rises, so more higher stats kids apply, which raises the stats, and on and on, like a vicious cycle. What I see is that schools who are now attracting better and better students are turning to a more holistic review of applications.
There are those that like to give their scholarships to those top stats students, but I’m not sure if that’s just because they happen to be the top students - who get top scores. Vandy comes to mind for this, and WashU as stated above.