Alice Cooper was a contestant on Hollywood Squares, for what it's worth.
If you look at the punk aesthetic rather than the punk lifestyle, the roots of the movement extend back beyond "proto-punk" (the Stooges, MC5, Velvet Underground, Mothers of Invention) to the garage rock of the 60's. The goal was to avoid the extenuated blather of prog, psychedelic, and jam bands and return to the raw simplicity of informal, once popular 60's rock bands (not the Rolling Stones, Beatles, Kinks, but esp. The Seeds, The Standells, The Shadows of Knight, and others--even ? and the Mysterians). Much of the music played at teen venues in my youth in the early 60's fit into this category (see https://southerngaragebands.com/ ).
But garage bands didn't usually espouse the "live fast die young" philosophy; they were just trying to play music that they liked to the best of their ability. The rock and roll suicides and death-by-overdose musicians were largely a subset of the mainstream popular players (Hendrix, Joplin, Brian Jones.... you know the drill). Many punk and proto-punk musicians (not to mention metal superstars) lived to a relatively ripe old age, and some are still going.