One of the things I think is a big strength of "Heat culture" (and I just threw up in my mouth a little saying that) is long term continuity. And I thought this had been a big strength for the C's under Wyc's ownership too.
Heat have had one GM (Riley) and 3 coaches (Riley, Van Gundy, Spoelstra) over the last 25+ years.
The Celtics (during Danny's regime) could say they had 1 GM and 2 coaches (Doc and Stevens) over almost 20 years. Spurs too. And Warriors have been trending that way as well (still to be seen if that's just riding the Curry/Kerr hot streak or not).
I always thought this was a huge strength for those teams.
Sure players don't care that much, they're more about who's hot right now, but I think it could factor in a little, and is at least a selling point (not just for players, but personnel like coaches/scouts/trainers/etc.). When you don't have the glitz and glamor of some other markets, you got to make sure you're strong everywhere else. Nobody wants to go work at a place with constant upheaval and regime changes.
Not that the Celtics shouldn't move on from Stevens or Mazzulla if they think they're not doing a good job, but just be very careful with it. Don't be a team that has a new coach every 2-3 years, a new GM every few years. I like being one of the teams that's not like that.
So if you change the coach and/or GM, make it count. Don't let it become the low hanging fruit you keep going back to. Hire the next coach/GM with intentions that person will be here for the next 20 years.