Just to be clear, my definition of free-market is just that there is no centralised authority that can use force to set prices/quantities/quality/type of services offered. Of course, the fact that the employer has to offer health insurance in some cases is part of it not being a free market. But there are more fundamental things that make the US healthcare very far from being a free market. The first one is that the supply of doctors is capped in quantity, not just in quality.