Must be just in your hall. I served as an elder for 8 years in two states. That issue never arose. I also was taken aback when I read your post here.
I personally would not have consented to the elders having a copy of it. What good does that copy do for you when it sits in the Kingdom Hall. The document is active only at the hospital. So you carry it in your car or on you, right? Right. So at the Kingdom Hall file cabinet, it lays like a book on a shelf and can not help that doctor to help you whatsoever.
I think it's only happening in your hall, by your elders, on the one who's stepping way out of line.