Just a thought…
Geologically speaking, if a nuke war kills us instantly or if it takes 500 years (major wipeout following by dwindling survivors), then it could still be considered the same extinction event.
Given that just about everyone has forgotten the hunter-gatherer lifestyle, surviving bands of people may have a hard time rebuilding. Even if we survive the initial fall-out, our long-term prospects may be thin.
But maybe we would like the Road Warrior lifestyle.