Well, all of the original zombies will be dead. One about the people they infect? They manage to infect someone right before they decompose to the point of uselessness. Now you've got a very fresh corpse, not embalmed but with decomp possibly slowed by the virus, who can then infect however many other people before succumbing to decomposition and so on. You'll still need the bullets/fire/religious methods/decapitation to stop the cycle. Though it does mean that if you can gather all of humanity into safe zones and camp out for a few years, you're fine.