Please expand on that - I personally think for-profit health care is one of the most ill-conceived ways of doing business I have ever heard of. Saving people's lives but only in ways that are investor-friendly?
healthcare innovation requires enormous investment. How should society pick healthcare problems to focus on, and how will we know a solution when we see it? The distributed price signal is an elegant mechanism for solving this problem and has worked to guide innovation in many other areas of human endeavour.
We can do better, though. For example, if poor people are hit harder by something, there might be less "price signal" than if a few rich people are sick.
You can reduce it, and you can try to amplify other motivations. But if you're developing a new drug, why wouldn't you market it to people who can pay you more for it?
You can't save every life - no one is immortal. And in the decision of what care to give to which people, money will always be one factor. This is probably amplified in non-life-threatening situations since personal trainers and nutritional consultants will probably not be covered by collective health plans.
