To answer your question, yes I would in cases where they are more educated than their schooled counterparts in the specific help I need. This is less common in medicine than in art, business or science, but it is not unheard of. In those cases, I would, and I have.

You should realize that with the exception of surgeons, most doctors lose skill throughout their careers. After medical school, doctors tend to slowly get worse in diagnostics and often ossify whatever was the best practice when they graduated. This is particularly clear in nutrition. Surgeons are an exception, due to the rapid feedback their work offers.

> Would you let a self-though doctor put his hand on you?

There are consequences here beyond time and money so it isn't nearly as much of an apt comparison.

> did not do practice in a "real hospital"

Medical doctors already go through many years of residency as well as continually take standardized tests to keep their medical licenses.

Also lawyers in California and Louisiana can skip law school by passing their boards (and undergoing a type of apprenticeship I believe).