It's the exact opposite of a free market. The supply of doctors is limited. The ability for people to care for their own health is limited by the FDA and prescriptions. Lots of very good candidates for medical school are eliminated from the physician pool by the AMA every year due to the availability of med school seats, which currently is around 11,000 per year.

Doctors limit the supply of doctors. When DeBeers does this in the diamond industry it's considered illegal.