My T does not use regular supervision but she consults with colleagues when needed. (I'm in the US.) I don't know how many times she's sought consultation but she told me about one time. It was regarding whether having sessions twice a week was fostering dependence or making my existing feelings of dependency worse. (I think her colleagues said it was a bad idea to continue but her gut told her it was okay, from how she talked about it.)

I don't mind being talked about as "a client of mine" in that context. If T finds it helpful to consult, that's fine with me. I actually kind of liked the idea that she took the extra time and that I was special and important enough for that.