On one hand, I can see how, if you only effectively need 11 Nays, you can plausibly get to 11 from people pissed at the -Gates, assuming he'll be back once he's run out of the NCAA, or people trying to get other long running candidates in.
I'm more shocked at how the voting is built. Sure, the pool of execs and coaches is far smaller than the player pool, but 150 total votes, split 5 ways, needing 40 to pass, means a couple candidates need to have virtually no support to have anyone else reach that supermajority. No one getting out of the pool just means the filtering process to make that final five then becomes an additional chokepoint - and again, in a system with a fixed number of final slots, the better the overall quality of candidates, the less likely anyone wins and leaves the candidate pool.
Frankly, any system where a candidate's chances are dependent on other candidates' chances and needs a supermajority to move on is going to become an impasse. Hell, the last time the US President got even 62% of the vote was _over two centuries ago_, and that election is almost always just two real candidates.