New medical schools must be allowed by the American Medical Association, artificially capping the number of doctors minted. This is why it's so difficult to get into medical school - the supply of spaces is constrained, unlike law school, where there is a spot for everyone who applies.
Dentists in Maine vehemently opposed allowing dental hygienists with a special kind of license to fill cavities without needing a full DMD. https://www.washingtonpost.com/politics/the-unexpected-polit...
If we want to fix the medical and legal professions, and by fix I mean make it cheaper, we need to remove the warped incentives caused by the government that prevent natural competition from fixing the issues.