Classic parsing.
Sex for lobbying favors is hardly “romantic.” So I guess there’s a possible grain of truth there.
I personally deny a “romantic relationship” with any number of women I’ve had sex with. And so would she.
Update: Just to clarify, sex for fun wouldn’t necessarily imply a romantic relationship, either. I have no evidence McCain did lobbying favors for her, and neither does anyone else. But one must consider the human condition and all the behavior that typically implies.