My experience is that the GP has never seen another case of CMT. And it is not likely that they will. And they do not have time to research it. They have had like 10 minutes concerning it in their training. (Seeing someone else with CMT would especially be true in a small community.)

However, in saying that, they possibly already have seen someone or two with CMT and it was misdiagnosed as something else. And to complicate matters, there are over 70 types of CMT identified so far and the number is growing. But, even the most common types are still being misdiagnosed. And all this even though CMT is the most common "inherited" neuromuscular syndrome.

A good neurologist who knows CMT is another matter. However, they are not available in a small community either.