Tgis depends on the T. I have had aome in the past for whom I was a just one of many, and I sobt think they thought mich about what I did or said. I never truly connected either and thought, well, therapy is not really helping that much... I dis learn atuff, but never went deep.
Now, I so have the imoreasion my T thibks about stuff I do or say. She is always composed and lovely, but she does react, with emotions... And to me, that is priceless. I love her for it.

I myself aometimes have to coach people in my job. I have had employees tell me about mental issues. And I was as composed as one could be. Its a matter of training and communication, id say. And in a way, a T has to be composed, esp if the client is very emotional.