You can't not classify an entire population of lawyers as not "intelligence-based," and classify doctors as intelligence-based, it just doesn't make sense. That's a logical fallacy.
This is definitely (and to most obviously) correct.
I'm pretty sure surgeons are not the smartest doctors though; they are not the equivalent of appellate lawyers.
My father who went through Cancer care and Chemo treatment at the VA before he died would always use the same joke:
What do you call the guy that finished last in med school? Doctor.
Same joke applies to every profession.