colleges were primarily a collection of books. The students gathered there because the books were there. Not because of professors, directly. the leadership of the college may have collected the books and made it possible to be a college, but the reason for the students’ gathering was the library, not the teachers. let alone the football team...
Today, we can have those same and multitudes more books anyplace there is internet or a hard drive.
As with many traditions, the tradition of the American university is not very long and hasn't always had the current form. The time is ripe for change.