In some places, free market healthcare is great. Dermatologists, dentists, chiropractors, things like that. And part of the reason it's great is because you get to shop around and people fight for your business.

In other areas, like heart attacks and strokes, you do not get to shop around. And you pay whatever they say you will pay. When those are the circumstances, there is simply no free market. And since no one is competing for your business with lower prices in that case, you do not get to see lower prices. They charge whatever they can maximally wring out of you.