Pobably caring too much about some clients. And probably having ''favorites''.
I can't understand how T's can stay so calm/grounded/distanced. Especially if you have been seeing that client for years. I would have clients who I like more than other and I would care a bit more about some clients. If a client would be in a really bad state, I would offer that client a hug or offer a check-in during the week. I would keep boundaries, but one email during the week, a vacation or a long leave would not be unprofessional.