The trouble here stems from people consuming modern entertainment uncritically, and changing trends in that entertainment.
There are at least 3 completely different, distinct things that have been called "zombie" over the years. In no particular order, they are:
- The slave-like servant of a voodoo priest, supposedly created through magical abduction of a newly-buried corpse (or possibly, of a person unwittingly buried alive after having been poisoned by the voodoo priest). Mostly only of interest for historical perspective.
- An undead (in the original meaning of the term, thus vampire-like) revenant of a corpse, hungry for the flesh of the living, with numbers ever increasing through either contagion, the rising of the buried dead, or both.
- A rabies-like plague, mostly explicable without resorting to the supernatural.
It's clear why #3 became so popular. Though the Romero movies of the 1980s hinted at it, we didn't really see this until 28 Days Later, and we've only seen imperfect renditions of it since (with shows like The Walking Dead and World War Z falling back to supernatural tropes for lack more clever plot devices). This third option gives it a little more plausibility, improving suspension of disbelief, new anxieties (biohzard concerns, etc). No longer did we have to deal with the overlap of religion (of either the nearly pre-Christian Eastern European superstitious variety, or of the Rapture's "rising of the dead all at once" Evangelical-adjacent mythology).
But it confused people. People conflated #2 and #3, didn't understand that there probably needed to be different rules for each.
Will the zombie limb move around on its own, animated? Can muscles even contract without supply of lung-oxygenated blood? If a bite is shallow enough that it doesn't break the skin, does it turn someone? How about if half-putrid body fluids are being flung around as you machete the still-biting corpses trying to kill you?
These questions simply aren't sensibly answerable, unless you've chosen a zombie model. But you not only haven't chosen a model, you seem to be unaware that there are even such.
In a supernatural model:
- Zombies are animated by a supernatural force.
- Zombies are contagious based on a defilement rule... the bite transmits no virus or substance, it defiles. Defilement makes the person vulnerable to a form of possession which apparently cannot be exorcised (the body likely has already died anyway).
- Though the rules probably aren't well understood, if enough of a corpse remains that it can be possessed, it will likely move on its own and attempt sinister ends. One inch of chopped-off finger? Probably safe. Arm at the shoulder? Probably squirming.
In a scientific model:
- Zombies are animated by biological processes. When the zombie ceases to be a viable biological organism, it expires.
- Zombies are contagious based on pathogens. Bites are the least of your worries. Hissing and spitting zombies, blood and body fluids flying everywhere as you use the hardware store tool rack to dismember them, various carrion insects spreading it like the plague. Bet you didn't think grandma would zombie out just from eating the picnic potato salad someone didn't think to cover, eh?
- Zombies need to more or less remain whole. While they might not feel pain anymore, a severed arm without a tourniquet means they expire in mere minutes. And the arm won't move around on its own.
- They need food, just like everything else. Even starvation rations would have them requiring a thousand calories a day. They need water, potentially lots of it. The vast majority of injuries that causes bleeding will result in infection and even gangrene.
And if this is alot to dump on you, then I have to tell you that pretty much no one gets this. Other than the 28 X Later franchise (yay, just another 8 years before we get 28 Years Later, but damn will we have to wait awhile for the one after that!), no one gets this right. Every single movie, every single tv show, just wallows through, never bothering to do anything right.