I see the logic, but would rather see the team play in the NCAA Tournament...
It's a weird comparison, but Georgia Tech football kind of had a similar ordeal with their football coach. Paul Johnson, the guy running triple option, was winning JUST ENOUGH every year to make a bowl game.. but they were kind of stuck.
But can you fire him? He has been national coach of the year like 3 times at Georgia Tech... Went to an Orange Bowl in 2014, and won it. A clear cut hall of famer.. but between really good seasons would win 6-7 games.
At the end of the day, he quit, but the pressure on him was growing. A large portion of their fans, in a weird way, wanted the team to have a 2-3 win season back to back or something to force the change... because as long as you are average, making a bowl (or in our case making the NCAA Tournament), it is hard to fire someone and force the change.