Igyou Atama-san to Ningen-chan (Pre-Serialization) - Vol. 1 Ch. 1

[llxUnknownxll]

I feel like I've read this exact premise except instead of abberrant-headed people they're furries. I might be going senile though.

No, you remembered it correctly. There was one ages ago but the artist stopped updating 4 years ago...
https://mangadex.org/title/24111ef3-628b-4776-8f3b-5266812b9a7e/kainushi-juujin-to-petto-joshikousei

/edit Oh wait, didn't see that a guy already said it.