AFAIK people with mismatched romantic and sexual orientations, though very much existent, are quite rare and the -romantic terms are most often used by asexual spectrum people to describe their romantic preferences.
Asexuals with romantic orientations came across my mind too. I can't imagine romantic and sexual orientations as separate, but the stakes aren't high enough for me to commit the typical mind fallacy so I'll keep my mind open to the possibility :)
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