Earlier quoted context omitted.
The problem is that "skilled healthcare" is essentially a cartel which uses artificial scarcity to increase the price. You can see the counter-example in Cuba, which has an incredibly high number of MD's per capita compared to other countries, and achieves very good healthcare results, especially in the context of other metrics of development and economy. There are so pitifully few health care practitioners compared…
Artificial scarcity? Maybe. There aren't but so many households with children that fit inside the venn diagram of can afford med school, has the intellectual capacity and bloody-mindedness to actually finish med school, and is interested in going to med school.
For instance, if you read up on the frankly cruel residency process which doctors are forced to clear in the US, the insane hours are in large part because one of the doctors who was influential in shaping the current practice was an abuser of stimulants.
So I think it's a bit of a "just so" story to assume that the version of the medical profession we have is the best possible version.
And indeed Cuba is a good counter-example to your argument. Unless Cubans are just a lot more clever and resilient on average than Americans for example.