I'm a genius

Me: I would like a gender-neutral word for non-binary equivalents of succubi/incubi
Me: Well, succubus/incubus are "lie below"/"lie above", so I'd want the Latin root to be "lie with".
Me: "with" here would be "con-" so...
Me: ...
Me: ...
Me: So I just reinvented the word "concubine".