Prigozhin is a fucking monster, for sure. But I seriously doubt his goal in overthrowing Putin is to continue the war that led to Putin’s downfall, and that Prigozhin knows firsthand better than just about anyone is unwinnable at this point.
I mean, I guess it’s possible. But at least there’s the chance that he’ll pull out of Ukraine so that him and whatever fellow oligarchs support him can go back to doing business with and making money from the rest of the world.
Whereas Russia’s attempt to conquer Ukraine is absolutely never going to stop so long as Putin’s still in power.