The part you’re forgetting is that it was Yale.
No one was on scholarship. They are there by and large to get a degree and go into business, tech, law, academia (a few), etc. The more athletically-minded might consider coaching.
While it’s improved drastically in the last 20-30 years, it’s still a huge long shot for an Ivy kid to be considering the pros.
I went to Columbia in the 1980’s—my class broke the losing streak and did not win a single game in 4 years. I didn’t play football, but it’s a small school and literally 10% of the boys there in my freshman class were football players, so I know a lot of them and have a lot of respect for them as student athletes.
That said, I had a buddy who walked on. I don’t think he started at Pittsford Sutherland his freshman year there (he later transferred to Staples in CT), but walked on at Columbia. Practiced every week, but rarely did played. I think MM may have been similar from what I’ve read.
Things worked out fine for my buddy. Became COO of the energy trading business of another player (who’s currently a minority owner of the Texans) and retired in his mid-40’s with trips to Ibiza twice a year…..