Should football coaches be paid more than professors?

The AAUP, the closest thing that professors have to a union, released its annual survey on salaries and finds a large and growing gap between wages of professors and those of football coaches.

If the purpose of the institutions were to produce football entertainment for profit and serve as farm teams for the National Football League, then arguments about letting market forces determine college coaches’ salaries would make sense. Otherwise, they don’t.

I wonder if they allow these guys to teach econ.