The Big 10 and SEC football TV contracts pay $60-80 million to each school annually. There is also revenue from bball tv, Tickets, merah, food, album donations etc.
Taxpayers, in theory, are not paying for big time sports.
The ncaa is nothing special. It's just an admin association created and run by college presidents. It does not even make money. After expenses, ncaa earnings are distributed back to the schools.
If 40 big schools left, ncaa would just continue operating for remaining 95 football schools and all the other divisions.
The new division, however, would get all the TV money as all the brand name programs would be in the new group. For reference current College Football Playoff, all bowls, and new NIL enforcement commission are already not part of the NCAA.
OSU and WSU did not leave the big time voluntarily. They were left standing like musical chairs when the PAC12 collapsed.
Next year the PAC resumes with new lesser schools. In the next league restructure they will again expand in hope of getting back on level of Big12.
At the top of college sports, the only thing that would halt this change would be if fans stopped watching live college football on TV. Sounds impossible, who would have ever thought that TV and cinema would crumble?
There is always naturally a battle between academics and sports. On the whole though big time sports generally seen by u presidents as a positive. It brings in money, improves vitality of the campus, builds university brand, and attracts students.
The schools that don't want to play have really already opted out. Ivy, Patriot and D3.