Symptoms do overlap, but there are differences - A good dr will know the differences.

If a dr does use the terms interchangeably as a diagnosis , I'd run, as they are different conditions , and if they don't recognise the differences they won't be able to help you.
First visit it would be normal to say it might be fibro, CRPS, or TOS....but then testing and deeper look into hx, & sx should narrow it down, unless you have a mix of them.