Re: a recurring theme ... was that the three laws didn't really work all that well
Actually, House gives the impression modern medicine works extremely well and always comes down to a solvable logic puzzle with a dash of obscure knowledge, a bit like the Asimov stories. There's a reason: House is inspired by the Sherlock Holmes stories (House / Homes, elementary my dear Wilson), and Asimov really liked detective stories, constructing many of his short stories in that form.