Not necessarily. Prigozhin may be forcing a change in the top Russian military leadership, and giving his friend Putin a political way out of the mess created by the failures of the Russian military.
Since the beginning Prigozhin has directed his efforts at the top level Russian MOD leadership, not Putin.
The problem is that Prigozhin also threw insults at Putin personally and directly contradicted the Russian narrative about the causes of the war and its current state. Those are things that can’t be walked back and easily forgotten.