I sometimes make up emergency contact even when I am forced to give one for a doctor Definitely would not give a real one to a therapist, I think I would even say that I won't, would not want a therapist to get involved in my life in any form except talking with me.

Oh, there was one exception about other people, just the two therapists: I did give the full name of my 1st T to the 2nd when he was curious (in response to my being quite critical about him). I would not have cared if T2 wanted to report T1 but I would not have contributed. Never gave info to T1 about T2, except first name (he has a very common name).