I find this idea interesting, but I'm extremely skeptical. If we are thinking about this as being a startup, how can we outsource the cost of building the hospital to the doctors and nurses? That way you might be able to build a billion dollar business by tricking people into owning all the downsides while you own all of the profits?

I'm just joking of course... the idea that the market can optimise every problem is simply incorrect. There isn't a move fast and break things for doing startup hospitals, it's simply a problem that central planning can organise effectively. Unfortunately, the American allergy to government means your healthcare system costs twice as much per capita for the same outcomes.