Would Heavy Rain be a good choice as a game for my girlfriend and me to play together?

I have read a lot of great things about Heavy Rain, and I think that having a game where you don't necessarily "lose" in the game would be a big plus, considering that Laura (my gf) doesn't really play many video games, except simple Wii ones. However, she does enjoy some deeper movies from time to time, and playing an "interactive movie" might end up being fun. I was wondering what people who played through it thought? Keep spoilers to a minimum :)