Obama says he worries more about college players than those in the NFL because the pros have a union, are well-paid and are grown men.
"They can make some of these decisions on their own, and most of them are well-compensated for the violence they do to their bodies," Obama said of NFL players. "You read some of these stories about college players who undergo some of these same problems with concussions and so forth and then have nothing to fall back on. That's something that I'd like to see the NCAA think about."
President Barack Obama not sure he'd allow a son to play football - ESPN
So long as these universities are receiving any federal funding (which they all are), the Federal Government has a legitimate interest in what goes on at said universities, to include impacts on student-athletes.