My first T said, I won't leave you (she did mention things that might be beyond her control, such as death, though!); I won't terminate you (but then she also did mention things, such as ethical concerns, or me being non-compliant over an extended period of time that would be circumstances under which she would); I won't abandon you. So technically she did qualify some of those statements - but not on every occasion.
She did terminate me, using ethical grounds as the reason (I became unrelentingly suicidal and she felt like she was no longer helping, and was actually hurting me more). I did feel abandoned, and still think the way in which she actually handled the situation was akin to abandonment (because it was abrupt and happened while I was in the hospital over the phone), and yet I see clearly at this point that she really made no unqualified promises and also did the right thing considering the whole situation. I felt for a long time she should have or could have stuck with me .... but what if the change was necessary to help me truly get better?
And I think it was.
If I were ever to be a T, I wouldn't say, I won't leave you. But I would say, I am committed to working with you, committed to helping you, as long as it's needed/possible/helpful to you ....