No doubt -- he would have.
Because over time, he grew increasingly more petty and short tempered. And despite his clear love for SU, he hijacked the program and held it hostage for several years, which wasn't in the program's best interests. There is no doubt whatsoever that JB would have gone scorched earth.
And then it would have been over. Short term pain / ugliness, instead of long term pain / ugliness as the program slips into further irrelevancy.
And if we'd actually done due diligence and hired a qualified head coach, instead of someone who was completely unqualified and has demonstrated quickly that he's in over his head, then the program would have righted the ship, and the fans would have quickly gotten over any temper tantrum JB would have thrown, and gotten behind the new coach.
Because if there is anything that Syracusans back, it's a winner. Those negative feelings would have quickly been put in the rear view mirror IF the successor won games.
Instead, we're seeing a continuation of the program's decline, with no end in sight.