What part of "they aren't going to have an option" do you not get. Over the next 10 years, the NCAA is going to lose dozens of lawsuits that will require that they compensate the players. There is one lawsuit that just got class action certified that if the plaintiff wins could cost the NCAA schools over $3 billion dollars in past damages. That's just one of dozens of lawsuits that have been filed.
Once that happens, the schools will not have a choice. They will have to pay the players their fair market value or continue to lose cases. Once they are forced to pay the players, they will have very few choices - try to raise more money, or cut costs. Doing neither will not be an option. Perhaps this is our disconnect ... you think that there is some way the status quo will continue. There isn't a chance in hell that is going to happen.
So, the players have the best kind of power over the universities - the law. And the law has been and will continue to kick the schools' asses until they finally decide to pay the players their worth. You may not like it, but that will be the future.