Well, I think that has more to do with your particular school of zombie. Is it a disease, is it magic, is it whatever?

I personally don't believe the creatures in 28 Days Later were zombies but since they technically don't exist it's hard to say what is or what isn't a zombie.

To me a zombie has no memory of life, no willpower beyond that of feeding, and they've rather slow and purposeful because they're dead and their bodies are decaying.