Have you ever explored asexuality? There are different forms of it, it's worth a look since this is how you feel. I have several friends that consider themselves asexual who also consider themselves atheist or agnostic.
Yes, but there are practical complications with how the term is applied and how it is interpreted. It breeds misconceptions. I don't know if it represents the first instance of the term 'asexuality' to describe sexual orientation, but Kinsey applied it to his eponymous scale as a single value falling outside of the orientation spectrum. I think it could represent a spectrum all its own.
Let's say, for the purpose of this conversation, we create a scale from 0 to 10. 0 represents someone perfectly asexual. 5 represents someone who feels sexual attraction strongly, but only selectively. 10 represents sexual attraction to pretty much anyone and everyone. In that sense, perhaps I am typically a two.
But then we hit a bit of a snag with 'sexual attraction', and this is the where the term 'asexual' becomes tricky. In the above scale, I'm talking about a biological impulse making a person sexually desirable. This is something exceptionally rare for me to experience, yet I do enjoy sex and there are other factors which make me attracted to certain individuals such as personality, emotional and intellectual connection, and to some extent aesthetics. It's just that 'heat' I am largely missing.
Perhaps you could say I have sexual appreciation over sex drive.
So while what I am saying does fit within various understandings of asexuality, it would be a term only useful to someone versed in sexuality terminology, imo.