Do you think that zombies' inability to run is the deciding factor in making it even conceivable to survive in the post-apocalyptic world?
I personally can't imagine anyone surviving long-term around running zombies. Even if fighting them was relatively easy, it’s statistically inevitable that sooner or later you'd get bitten. This applies to walking zombies too, but at least with them, you have the option to avoid physical altercations altogether, at least for the most part. That’s what I think most TV shows get wrong about zombies: even if there’s just one, and you could easily take it down, just don’t. It’s almost never worth the risk. In my view, the best way to survive is to avoid them as much as possible. Fighting is the last resort and should only be done in self-defence.
If the zombies die within a few weeks or months than survival with bunkers is possible. If they live forever without food than it depends on what they do eat. If they eat all living things things get hard, if they eat plants than I don't think there is hope.
TWD style zombies live indefinitely and they eat humans as well as animals but this is just an instinct. Zombies don't need food, water or shelter to survive nor do they even have a functional digestive system.