TV's Frink said:
You haven't answered my core question - why shouldn't they be involved romantically?
And you haven't answered my question, on which my answer of your question is dependent.
So once again, how do you define "romantic relationship"? I gave my rough definition, so please give yours. I already answered your question as best as I was able with what you gave me, but I can't be any more specific without your clarification.