Solar... I think I understand where you are comming from and feeling.
In many ways, I see this is true with my own T. I know he cares about me in the context of his job description. But I also feel that as our relationship has grown - as T has grown to know me as a person and has allowed me to see some of who he is - that T does care more about me as a person and not just a client.

It is odd because I can watch T's interactions with other clients before or after my session with him. There is a haunting emotional distance he has with some clients. Usually I see that when he says "Hello, I'm xxx. Come on into my office." It is warm but it is NOT what he does with clients I have seen many times. He has different levels of welcoming people. One guy he said "Hey Friend! Great to see you! Come on back!" His whole face was lit up! I thought "I wish he lit up like that to see me." But it showed me he was not just a T who processed everyone through like clockwork.

Anyway, that is my take on this.