Space X owns something much close to an end-to-end objective: it's not a study, or a build, it's getting the thing to orbit, end of story. I think if you could set up the situation so that a company owns the end-to-end story of your health, things might be better off. That sounds more like Kaiser Permanente and my impression is that's exactly what happened. In reality our healthcare system is typically more like Gemini: contractors, tons of regulations, but none of them really own the end result so it's a public/private mix of bureaucratic mess, misaligned incentives, and buck-passing.
Also the ACA did have some successes in doing kind of what you're talking about. There were incentives in there to avoid readmittance before 30 days and to all appearances it's been a success.
https://www.statnews.com/2016/12/27/obamacare-success-penalt...
Itβs almost like SpaceX took rockets from being a consulting business to a product business.