Nothing wrong with the game. The way the NCAA distributes the profits is.
What do you mean?
'...schools are benefiting more from student athletes’ activities more than the students themselves.'
Econometer: Should the NCAA change rules so athletes can profit?
Should college sports players be paid to play sports other than their scholarships?
Will they be paid proportionally based on their skill set? signing letter of commitment bonuses?, or all paid the same amount? In the vast majority of colleges and universities only football and sometimes basketball programs make money. What about men's wrestling those are always money losers sports programs, do they get paid also? How would title IX affect this as women sports programs never generate a positive cash flow. Everybody gets paid something and the schools that can afford to pay the most get the best.
So to be able to afford the best players available out of high school we drop all sports that lose money. Then we have a men's football team making a boatload of money and thereby to comply with title IX we have women's football team that the men's football program can support. All the sports that cannot generate a positive cash flow for both men's and women's programs combined will be dropped and that revenue will go to players salaries.