Yes, we know our Ts because they are paid (by us, by our taxes, or by our insurance.) But that does not mean that they do not like to see us. Most Ts can choose which clients they see. I don't understand why anybody would choose a job that involves many years' worth of studies and training, and is not particularly well-paid, if they did not feel an interest in the people they meet with. I would not meet my students if I were not paid to do so. I still like them and am very invested in their success. (And I don't have the luxury to refer students to somebody else if I can't stand them, unlike my T, who can do that.)
But the professional interest and caring we can get from a T is not the same as the interest and caring that some people may get from friends and family. That is part of the T relationship.