I can tell you that my Dad went to MIT (BS/MS) and my uncle went to the most random undergrad on the planet (PhD Stanford). To this day my dad maintains that the MIT network was better, but their undergraduate educations were the same.
I don’t know if this would be true today, but most posters here who are themselves alumni of said institutions, and not parents of alums say that they question paying a lot more for what advantages there might be.