I personally have a story of a great doctor who went to the effort to try a less-well-known (but still entirely conventional) treatment that resulted in a much better outcome for me. But that just highlighted the fact that great treatment outcomes are a haphazard occurrence in a sea of crud where neither the insurer nor the provider prioritize the patient over maximizing revenue.
What this story illustrates is that paying out of pocket, which presumably put greater market based pressure on health care providers, is even worse.
Not all parts of the economy work bast when least regulated and maximally market driven. Without information from disinterested parties, and without oversight from outside the profit-driven parties, you just get farmed by crooks.