Out of curiosity did you want Ime fired after they lost in the finals last year? I ask because I don't think there is any difference between the two in terms of coaching. Arguably I'd say Joe was better in the regular season, about the same in the playoffs, though maybe Joe made 1 mistake in the PHI series that was notable, but generally same level of coaching and similar results, just expectations are higher this year.
This wasn't addressed to me and I don't think Mazzulla should be fired after this year (unless he does something just colossally stupid, which I don't think will happen). I also wasn't a huge Udoka fan but I do think there are some clear differences between the two.
-Ime seemed to break through to the Celtics halfway through the year and their effort, and defensive success, skyrocketed. I think that people give him credit for that and more of a leash, whereas Mazzulla inherited a team that was fully formed (and more talented). Part of the leash that Ime was given was that last year he was a first time coach and people expected him to get better this year. Unfortunately, because of the circumstances of this team being championship or bust, CJM has really not been afforded that leash. That's the biggest thing to me.
-Ime also constantly harped on things that are easier to see (effort and defense) and therefore easier to digest. Mazzula harps on things like shot variance, shooting more 3 pointers, and spacing. That, in and of itself, will turn off a certain segment of fandom. IMO, I think the thing that this group needs hammered into them more than anything is focus and effort.
-Ime made better in-game adjustments than Joe. I attribute all of this to the fact that Ime had an awesome coaching staff while Joe seems to barely have a coaching staff period.
-While all of the players have credited CJM and said that he has done a good job, I think they all really loved Ime and thought the world of him.
-Udoka represented himself far better in the media than Joe does. Ime appeared calm and collected and seemed to know when to call out players publicly (something that the media always eats up). CJM really doesn't do himself any favors with his media appearances. He has a weird kind of spastic energy to him and seems to get offended more easily than your typical head coach. My friend, a big NBA fan but not a Celtics fan, texted me one of his press conference clips from the Sixers series and his only comment was "This guy seems kind of strange and not together".
Personally, I don't care about this stuff at all but if people do care about the coach handling the media, I can understand why they wouldn't love his style.