Most likely it would be the Cobbers even if they didn't like the sport. A sense of pride can only benefit the college. If a team were to do well, for example make the final four in hockey, the NCAA gives the program bonus funds that would help support the team next year. This would result in a decrease in the athletic budget, and previous expensed money could go elsewhere to benefit the school. No, the goal would not be met under the first proposal.
Athletes bring so much to the school, and they give up so much of their time.
Yet they are not fully compensated for their efforts. Under proposal two these goals would be accomplished. High quality athletes would still go to colleges to play sports under this proposal, and would probably attract more. They should accomplish these goals. Under proposal three all of the previous benefits that I listed off would be seriously jeopardized if colleges were to lose sports.