Alice was brought to the hospital in excruciating abdominal pain, and her bickering parents can't agree on consent for surgery. Instead of threatening to cut the girl in half, House goes before the wisdom of a judge who rules in his favour - and, incidentally, the mother's. When mystery rashes start appearing and treatment doesn't work, it's the father who wants to refuse House's treatment, so back to the judge they go. In a surprise move - for those who hadn't read the episode description - she awards temporary guardianship to Cuddy in order to make medical decisions.
House's position is that Cuddy's middle-of-the-road approach, in Alice's treatment and in his own pain management, is cowardly, and that her medical decisions are only resulting in her getting sicker. He thinks his team is cowardly for not ratting him out, and barely listens to their medical opinions because they interfere with his complaining about his Vicodin being rationed. But he's the biggest coward here, taking the head-in-sand approach to his legal problems and the impact those problems are having on the people closest to him. Even I want to smack House, and my bank accounts haven't been frozen. Last I checked.
He's always been an advocate for people doing what they think is right, even if it means standing up to him, and he's no different here. But even though he's goading them to do the right thing here, they believe that loyalty supersedes the law, medical ethics, and, if they do believe he's out of control, House's own well-being. He's goading them to take action because he won't, or can't, or wants to make a game out of it, or isn't thinking of the consequences because all he can think about are drugs. None of those options are admirable in a guy who does the right thing — in his own wrongheaded way — in professional circumstances, but rarely does the right thing in personal ones.
The gang refuses to talk to Tritter, but the way he puts pressure on each of them, and the reasons why they don't talk, are revealing.