I'm not sure of your ask/question here. I can say from my experience, I do show emotions with my T and it has been helpful to have her be with me as I internally work through the emotions and to help ground me when it has become too much.

I do not have friends or family that I feel safe being emotional with/around. I often feel like I must protect them from my emotions. Therapy has been a place where I don't have to worry about that. If you can express these emotions comfortably around others, then you might not need to or feel the need to express them within your therapy.

I guess, I would say that displaying and sitting with the emotions while in therapy is another way of processing the feelings that have come up for someone. As you posted in one of your other threads, you've been in therapy now for several years. Perhaps there is an element of hiding within the desire to intellectualize and discuss the feelings rather expressing the feelings directly when in therapy? What would be the harm if you were to allow yourself to physically respond to the feeling (say sadness) with your therapist? Do you restrain emotions that are typically though of as positive or uplifting feelings such as humor/laughter to discuss and process out those feelings or do you share the stories while smiling and laughing? If you express the positive emotions but not the negative/sad ones - why the duel standard?

It is completely possible that you don't need to express/display the emotions within your therapy session. If you really feel that, perhaps asking your T what he'd hope you would gain by displaying an emotion that is more congruent with your feelings rather than to maintain a level/type of distance from it so to engage in the analysis of the feeling.