Russian Federation style: Prigozhin goes rogue, Shoigu and Gerasimov become magicians and vanish, President Putin runs for St Petersberg, president of Belarus has to call Prigozhin because he won't answer the Kremlins calls, he convinces Prigozhin to turn around in exchange for guarantees.
USSR style: Prigozhin goes rogue, generals and the premier laugh, Prigozhin's wife has to call Prigozhin because he won't answer the Kremlins calls, she explains that she and their children plus the families of the other Wagner high ups are going to be fed to dogs unless Wagner surrender, Wagner high ups surrender, they're shot, their families are fed to dogs.
Considering how Putin tries so hard to act strong it's impressive how soft he and his regime are compared to their predecessors...