CTD is not a specific disease. Overlapping connective tissue diseases cover a wide range of autoimmune diseases with many different symptoms. I have mixed connective tissue disease which is fairly well defined but many have undifferentiated connective tissue disease which is short for "I don't really know what you have." Even so, docs will treat an undefined case.
Have you been tested for rheumatoid arthritis?
Lupus often triggers terrible arthritis which can attack every joint...mine did.
Depending on what Mayos says you should probably see a rheumy who will look at it differently than a neuro. Where do you live?
Bill