The Russians can do what they like in sorting out how their rebellion goes. Mostly it's a question of which unpleasant dictator is in control. If Putin wins, presumably little changes other than that Russia has spent a load of resources fighting itself.
There are two questions I care about, if Prigozhin wins:
1. Would he continue the war in Ukraine? He's already said the pretext was false, so maybe less likely than Putin?
2. If he does, is he more or less likely than Putin to escalate to a direct confrontation with NATO?
I want the Russians out of Ukraine and I want not to have a nuclear war in the process. I'm rooting for whichever side makes that more likely.