Incurable of what? Have you been diagnosed with depression? Have you thought about why you got depression now or have you had it forever? I believe that most depression is situational, has anything changed since you developed your depression? I am guessing you have explored all of this with your therapist. I really think that with the right help and support everyone can get better and eventually support themselves to try something new in their lives.
Something you said reminded me about something I read about clients who have had severe trauma in their lives. They fear feeling good and getting better because that feeling is unfamiliar and at times dangerous especially if your parents were the cause of your fear as a child, say they put you down and ridiculed you for doing well. Knocked you down a peg or two. These clients stay flat, disconnected and numbed. It feels dangerous for them to enter into therapy and to be seen. Dr janina fisher said all of this in her seminar mistakes of the heart: healing power of therapeutic repair.