Can you have both hot/ cold types of RSD?

I was discussing this with my physical therapist because it seems like I might...

When I use the whirlpool at 70 degrees on my right arm the water feels warm, and on my left arm the water feels freezing cold! Also, my left arm/ shoulder loves the heat, my right arm/ shoulder hates it.


Though... both of my hands/ arms get really really cold and turn purple at times. They are very much alike in that way.

My left arm seems to have more of the sensitivity to touch, and my right arm has more muscle pain/ problems.


TIA!