Of course I think about my session. I also prepare sessions in advance - if I am super upset about something that happened, "how will I phrase this in session?" Is a common thought. It actually helps, because through imagining saying it, I also get down to the core of what exactly made me upset in the situation, which helps me feel less overwhelmed and/or actually solve part of it.

And I like/trust my pdoc and T. Also, I visit this forum a lot, which is about therapy.

Attachment? Not sure if that is the right word. I do realize they are paid professionals, and not friends or family, and more than that: I like it that way. I don't feel the desire to be special in their eyes, or to see/speak them three times a week. I don't think I have any transference going on (I say 'think' because, would I know if I had?).
We have a good working relationship. I don't think that's the same as being attached.

But given that they do fill an important and necessary position in my life, of course I think about them. I think anyone who visits a therapist or a doctor for an important reason (namely, symptoms that bother them - whether they be mental or somatic) has that. If you see a neurologist every three months for migraines, and suddenly one of your migraines goes together with a hallucination, you would probably think "Have to remember to tell the doc about that" because it might help the doctor treat your migraines. Sore left toe? "What advice did my physical therapist give me again for my sore right toe?" Because your toe bothers you.

I'm not attached to the persons. I'm attached to feeling better.