Zombie movies / shows are never about the zombies. They are about how the survivors navigate that world. They almost always play with the humanity aspects of it all. What does it take to be truly human? What happens when the zombies aren't the only bad guys? Etc... Most classic horror stories play with the line between human and monsters, and that is why the genre has survived as long as it has [ * ].
It's never about just the zombies.
[ * ] Not counting slasher/gore movies