It's not the client's job to take care of a T's feelings ever. But being invested in what one's T feels is not always pathological. It can be a very healthy human response. I don't believe that the usual suicidal client encountered by a T is making a conscious and rational decision. If they were, then it probably wouldn't matter to them what the T thought or felt. If there were no internal conflict about the decision, why involve a T at all, unless one is in a state where planned suicide is legal--but that would entirely change the dynamic of the interaction on both sides.