If a fire pushes through fast, you are correct. It appears to kill everything, but the roots and cores are spared, and will regrow, sometimes as fast as a year later seeing new growth.
But when a fire burns hot and long enough that it burn the roots right out of the ground killing and devouring every source of fuel there is and leaves a "scorched earth", it takes decades or longer to come back in certain areas. 7W has gotten devastated in the past 20 years with several huge total engulfing fires (Schults Fire 2010 15k+ acres and Elden Fire and Radio Fire 1977 that still hasn't grown back). It is not the same landscape as 20 years ago. And will probably not recover in my lifetime. There are a lot of other areas in AZ that have had similar widespread wasteland type burns.
Not just pine forests either. Huge saguaro desert burns like we had last year (Bush Fire @ 193k+ acres) will never recover in a hundred years or more. Sure, the grasses and desert trees and bushed will, but the saguaros are probably gone for centuries if not forever.