IWhy not let them keep it, and then have a chance for an autograph or 2 after the game?
That would be cool, but again, I think in the opinion of tOSU and other schools, they can take care of fans in other ways. As I noted, IMHO, the thrill of getting a ball is not as universally exciting as you believe. But that's a matter of opinion, and I might be wrong.
A couple of weekends ago, DD and I went to an N.C. State game. Admission was free, and they were giving away free posters w/ the team's schedule and a free draw-string backpack. After the game, the entire team sat at tables and signed autographs.
Yeah, it would be great if balls that went out of play could've been used for autographs, but it's hard to complain when you've already received free admission, free poster and free backpack.