The 250k+/year US salary of the fully trained doctor setting bones could be a problem. Many doctors are paid significantly less in many of those other countries.
The free market in shampoo is okay, sort of. For a lot of other stuff "free market" + fiat looks like a mess.
Why haven't dental costs fallen through the floor if it's a free market?
Of course since the latter are elective, customers have the luxury of shopping around and taking their time.
I've had to deal with the true cost of dental work and I can guarantee you anyone that's needed to deal with significant dental issues has had the same experience. So why hasn't the free market dropped down prices? Why are we still paying more for basic dental work compared to other countries?