Depends if I, as a player, have control over the relationship. In games like Bully, Dragon Age, Fallout etc. I will be a gigantic slutbag who will make it my mission to romance everyone possible. Male, female, love robot, you better believe I'm going to make as many of them mine as I possibly can. In Bully I would make out with half the school. And then if it was a boy I had kissed, beat them up(you couldn't beat up girls) The more, the better.
When it comes to a love story that's on rails like, say, Squall and Rinoa, I don't really care as much.