They do. Or at least poets love zombies, or it's a mutual love-in.
I tried to find something small and funny to post, but instead I found hundreds of poems about zombies (including a book of zombie haiku) and this academic post
which makes sense (I think, but I'm still not sure) if you read it 17 times over & have a working knowledge of postmodernist French theorists.
Zombie. Joke. Fail.