New term coined!
Dichoepithymía (dicho for short): When one experiences either romantic attraction OR physical attraction at any given time, or neither. Never both.
It's under the aroace umbrella!
[Image ID: The left image is a pride flag with cooler pink stripes on the top, grey and white in the middle, and warmer pink stripes on the bottom. A grey and black branching paths symbol is placed in the center. The second and third images are that same flag but with two different versions of the hypersexual symbol placed on top.]
Made a main version and then two variations with hypersexuality in the mix because that can definitely play a role in how this presents.
If this identity has an existing label and/or flag, consider this an alternative! And pleaseee link it below. I found nothing when I looked, which is why I made this.