Alright man look, I’m not going to sit here and have an argument with someone who is being this pedantic.
Yes, traditionally a zombie is someone who is undead. Traditionally speaking, a zombie also doesn’t eat flesh. You can look this up in Haitian folklore.
That being said, what we refer to as a zombie is a humanoid who attacks other humans and eats flesh with little to no higher functioning, as in below any living animal. Traditionally speaking, the mind-altered state is part of what makes a zombie a zombie, not just the undead part.