Semyon Podporin

Even today, there is a more or less market-based competition between various treatment methodologies in the world. There is the WHO, with its ICD and list of essential medicines. There are numerous schools of traditional medicine that find their followers, often even on an international level. There is homeopathy and all sorts of other extrasensory practices. There are fasting and prayers. There are several families of therapeutic gymnastics.

Thus, even when competing with international bureaucracy, the medical market is quite flexible and provides services for every taste and budget. There are no grounds for it to be any different under ancap. Yes, it will be easier to introduce various “placebo-drugs” to the market. On the other hand, there will be no imposition of such drugs at the state level, as was the case with something like Arbidol.

Yes, humanity will not have a single list of diseases and drugs, but developing new medications will definitely become easier. Yes, there will be more various placebos on the market, but funding for the Cochrane Collaboration will likely grow, as will its authority.
Many also fear the curtailment of research into new drugs due to the demise of patent law, but that is a completely different question, which, moreover, I have already partially answered.