If the money is going towards the cities, they will. Once upon a time, Ivy League schools ruled college football.
When the Ivy League ran things, a couple of things are important. Almost
no one went to college. There weren't many of them, and most people had no interest.
For instance, UConn was founded in 1881. By that point, Yale had racked up, by some counts, 6 national championships. Actual football powers, like Oklahoma (1890), Texas (1883), or USC (1880) were already well behind them. Let alone actually
fielding a football team.
On top of that, recruiting. Once that became common, the Ivies, who refused to do so, fell behind.
Once recruiting became prevalent, you pretty much see the same names with titles:
Michigan, ND, Ohio State, Nebraska, Oklahoma, Miami, USC, Alabama, LSU, FSU, Penn State, Texas, etc.