Ok, so I don’t feel much sexual attraction to others, but if we’re close enough and they’re very special to me, I won’t mind having sex with them and am pretty open to doing it regardless of feeling attraction or anything like that. The attraction is there, but it feels different.
Sounds like demisexual, which is a subset of asexuality.
Everyone else is already covering the topic of the usefulness of labels, so I’m not going to bother getting into that.