I do the same thing as well and always have,-- when it comes to every medical provider I have ever seen. I've done that routinely, and not necessarily subtly, for at least the past 30 years.
It never occurred to me to do anything like that for my therapist. I was ignorant. I made the assumption that merely by being so, it would be to the benefit of my well-being.
I was not aware of anything being even remotely possible as you described, where there is no official, ethical and legal code of confidentiality.
I was relatively new to psychotherapy in the recent years and only started since my family (ie: Mother) and her husband strongly pressed the issue 2-1/2 years ago as they saw my life spinning out of control because of the CP and my denial and avoidance of wanting to admit to the need to surgical intervention, and the need to file for Disability.
My experiences with therapy in the past have been disastrous. My Mom dragged me to her psychiatrist when my parents got divorced, convinced I needed help "coping" with it. (I didn't).
I tried a few times on my own when I was in my 20's and it was horrible. One "therapist" (I now strongly question credentials), after my consult, said she could not help me because I had "too many problems". I was floored.
Another therapist ignored what I wanted/needed to discussed and instead relentlessly pursued her own agenda by trying to convince me that my lifestyle was "wrong." (Judgment).
Even in my 20's I knew something wasn't right, tried to seek help, but it always backfired. I dove into self-help books instead. Excessively so.
So this time around, I was practically dragged into therapy because I've been convinced it's pointless, doesn't work, and I didn't like the whole concept of paying good money to a stranger to pretend to be your "friend" by spending 50 minutes just listening to you and never giving you feedback.
I have now learned that, in particular of late, that I was with the wrong kinds of therapists. I need to find someone who deals with CP patients. My last therapist felt I was consumed with an unhealthy focus on my health as I relayed what I felt was pride as I was getting better at getting all of my doctor appointments lined up.
I didn't have a very full life,...everything centered around the medical.
I have my first appointment with a doctor up here in NH on Friday to (hopefully) transfer over for a new PCP. I hope we "mesh" and I can move forward from there.