Anyone who makes it through medical school is definitely smart by some standard, especially if they end up in a highly competitive specialty like anesthesiology. Does all that intelligence translate to talent for being an anesthesiologist? Probably not, but I'm sure a lot of it does.
I think this is where we’ll really disagree. Completing med school is a function of opportunity, determination, and to a much lesser degree intelligence. Doctors are just people and people have roughly the same innate abilities.
