Take cancer, for example. There are innumerable different variations of the disease, multiple causes, even as far as psychosomatic, but we don't go around saying "well your cancer is the wrong type of cancer, technically we don't consider it cancer, so we're not going to operate and attempt to fix it... you can just go ahead and die." Why should this be different?
It shouldn't matter how you came to feel the way you feel. What should matter, in my opinion, is that you do, and if it's detrimental to your way of life, causing you pain and sorrow, affecting your ability to function within society, and even threatening your existence, then you should be afforded the same level of respect and consideration as anyone else presenting with the condition, no matter what initial cause brought you to that stage, physiological or psychological.