I've never had a therapist give up on me.

My therapist did ask if I wanted to see someone else during a time when I was doing very poorly. It wasn't that he wanted to get rid of me; he was just wanting to let me know that he would completely understand if I thought I needed different help, more help, etc. I wasn't interested, and that was the end of the discussion. We moved on and eventually things headed the right direction for me again. During that period, I was hospitalized many, many times; he never gave up on me.

My pdoc did the same. In fact, he sent me for a 2nd opinion to be sure he wasn't missing something himself. I had great respect for him asking for that. The 2nd opinion confirmed his treatment and offered a few suggestions that we talked through and made decisions on together.

If you think you are testing your therapist, talk to him about it. It's not unusual from what I read. It is a good discussion to have.