Yes, they think of us, but not as you seem to want--as a friend or partner.

T's have a regular and full life like anyone. A fulltime T might have scores of patients at a given time.

I'm sure when something comes up that relates to part of your life or treatment you pop into her head. And I'm sure that she deliberately thinks about how to use some idea in your therapy, or to refer to something she comes across. And esp. when you've been having a particularly difficult time she probably wonders how you are.