The term makes perfect sense to me. It's the price the university has to pay for Miller following their orders and then being the fall guy when things go bad, effectively ending his career.
When Miller takes on the job, there is an undocumented understanding of what "needs to be done" at the program (i.e. payments as necessary), and that there is an expectation that the staff do it from administration.
Miller's lawyer realizes that this expectation from the administration, not only creates an increased opportunity for Miller to be fired for cause but also hurt his ability to get back into coaching if he gets caught. So he creates this clause which Arizona agrees to.