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Capitalism kind of does become "not capitalism" when a small cartel of individuals uses these public safety rules to arbitrarily cap the number of professionals who can be certified. At that point, you have something approaching mercantilism. Rules can be good for markets, but in the medical industry in the US they are far past that point.

I haven't checked, but I assume that today there are more rules and regulations on doctors in the US than there were on the entire Soviet economy. Some of those rules are good, but most of them are in place because a hospital system or a medical association lobbied to put them in place so that they could keep barriers to entry high.