Na. The only way this delays the inevitable is if Utah actually wins this series and advances to the semifinals. But if they win tomorrow and then lose in game seven, I don't see things playing out differently.
If anything saves this from blowing up, it was winning game four. If the Jazz lost four-straight for the second straight season (on top of losing three-straight vs Denver in 2020), I think that would have triggered a massive overhaul.
As is, I suspect the biggest change this off-season is Quin not returning. I still expect Rudy and Don to be back with a new coach, though if Utah somehow wins this series, I do think that saves Quin's job...if he wants to remain at Utah.