But I think Cuddy's expectations for House are different than both a normal mother's would be to a normal boyfriend partly because this is tv show (and lots of things are accepted at PPTH that are not okay in RL) and partly because she knows the 'real' House under the sarcasm from all her years with him. Also, he hasn't said much in front of her that would indicate he doesn't like Rachel once they started dating.

House did call Rachel a moron in earshot of Rachel this past episode, but Cuddy wasn't there to hear it. I think he was just talking to himself but still, that's a shame. I think we (the audience) are supposed to see that he is warming up to Rachel and that she is winning him over. That is what i think TPTB are trying to do, but they are doing it slowly because if it happened too quickly the audience wouldn't accept it.

Of course in real life there are a lot of women who put up with a lot of boyfriends who are awful to the kids. I heard once that the most dangerous thing you can do to a female child is live with a man who is not her father. Sad, huh? But i don't think Cuddy is that kind of woman, nor House that awful with children. But with his past addition behaviors he is the kind of man that an intelligent non-TV single mom should never allow unsupervised with her child.