[Coda]

Not really? At least, not in a historical context. Historically, having no sense of attraction to anyone would have still resulted in the label "celibate" being appropriate. (Unless of course you were in a sexual relationship with someone you weren't attracted to, but that's neither here nor there.) It's only in the context of modern views on sexuality and the social shift surrounding religion that the term has picked up the current connotations.

And the same is true of "ace." It doesn't say why, only what. For that matter, probing into the underlying "why" of ace would probably be pretty darn offensive to most people, I would imagine.