Yeah, it’s obviously not logical or grounded in reality, but it is at least somewhat consistent within the show universe.

I think during the story line, where Cuddy negotiates with the hospital network insurance provider for a new contract, she makes the argument, that their hospial sort of provides a halo effect. Basically the hospital and probably House in particular (but maybe also others like Wilson) are some of the best in their fields, which obviously is great for marketing purposes, if you can say that you have one/the best and well known hospital in your network.