Whoa. That is a totally screwed up thing for her to say.

I would never encourage my child to think this way, no. (I am really not competitive--maybe even to a fault.) DD has a friend who has always been competitive and it makes me very uncomfortable. It seems to bother her as well. He gets very caught up in winning or losing games, whereas DD just loved to play. I have seen her lose on purpose so as not to agitate him.