Ahh, but evidence from the better breed of zombie movie definately suggests otherwise, and further, that the decomposition of the human zombie (Homo mors) is constrained to allow for the successful propagation of the undead species, or perhaps subspecies, of man (or perhaps the parasite or causal agent of zombification, using the once-human host as a vector of sorts).

In short, I don't forsee a bunch of zombies needing dentures.