No, nerve entrapment doesn't cause temp regulation dysfunction or color changes, or nail changes, etc.

Your doc doesn't have enough experience with RSD/CRPS.

Not everyone is a fan of Hooshmand, so I tend not to link to his website anymore--he's retired and some info is certainly outdated. But I do think he does a good job explaining the sympathetic and parasympathetic nervous systems.

link: http://www.rsdrx.com/WHAT_IS_RSD.pdf