> Would it help if we get a lot more of the first kind of doctors?

Depends? Did the tests actually find anything, or did they just make you feel better?

I had a talk with my GP about this at some point, and he more or less told me that he can just say "Go home, rest, come back in two weeks if it doesn't get better.", and 95% of the time that'll be exactly what is necessary. The hard part of his job is figuring out which of the visits are those 5%.