The use of statins can cause muscle weakness in anyone not just someone who has CMT. More muscle weakness is the last thing a CMTer needs. This would be something to discuss with your doctor. There are other things to try when one has high cholesterol including diet, etc. High cholesterol can also be inherited.

I know a few people in the general population (non CMTers) who have taken statins and have muscle weakness.

Personally, my cholesterol is fine. I would never take a statin if it was not. I would do other things such as diet, etc. That's just me.