Acetaminophen costs $50 at a hospital. Indeed there are massive differences in prices, I was directed to get an MRI at a hospital not too long ago and it turned out that it cost like $500 more than at an office of the same company about a quarter mile from the hospital. Why do you think these differences exist and persist?
Because no one ever asks how much they cost because they are not paying out of pocket because we have subsidized care. They were all confused when I started asking how much it costs.

It's anything but a free market when the government creates price floors.

We can tell you are wrong because we have an example of health care market in the US without government subsidies, veterinary care. And veterinary care costs a fraction of what human care costs even though the procedures are either identical or actually much more difficult because dogs need to be restrained and can't talk and such for some procedures and of course human doctors only have the equipment and training for human medical procedures and vets can treat many species and yet veterinary procedures cost only a fraction of what we pay for the same thing with subsidized and managed care. Vets operate under a "greedy free market" and provide the same thing for much less than your government subsidies.