Not hardly. Prigozhin claims Shoigu has been lying to Putin all along and Putin didn't have a clue, so what does that make Putin? A fool. So when Prigozhin takes out the generals who have been running Putin, then Prigozhin will be running Russia. Prigozhin may like Putin or find it useful to keep him around, but clearly he doesn't respect him.
If Prigozhin is not quickly squashed, even if he does manage to kill all his enemies, Russia will be immersed in a civil war for some time to come, and that will require troops to be withdrawn from Ukraine and confusion among Russian troops about which leader to follow, and that is all good news for Ukraine.
Prigozhin is a war criminal who should be hanged, but not until he hangs all the other Russian war criminals, so good luck, Yevgeny, and see you later at the ICC.