from personal experience i feel you should distribute...
i had a procedure done once that nooo oneee knew about except people in the dr's office. One of the nurses/helpers was not a JW but her mom was and I also knew the girl but at this point in time i wasn't thinking about "oh hell she knows me". But I have no doubt that she probably told her mom about me getting the procedure, and mom probably went to the elders...but i was pretty much "out" at that time anyway...when time came for JC meeting my dr's visit was never brought up among all the questions but i feel they probably knew. edited to add...i didn't try to sue either..i didn't have proof she told anything...but i had that feeling...a strong feeling...
on another note...in my line of work i have access to confidential information on people. But never have I used this info to rat out anyone. BUUUTTT recently a prostitution sting in my area netted a JW- MS. It was on the local news and the newscaster said the names of all those arrested is on our website...I looked at the names and saw that one was a person a knew...this was not secret info but was able to be accessed by anyone...I told my mom about the person and she told my uncle that is a elder....The message given to me was beware of giving info like this because of my job....My job had nothing to do with this..anyone with a computer could have looked it up...my thoughts is that one of their own had been caught trying to pick up a prostitute and like always they wanted to sweep it under the rug...i haven't heard anything else about the matter cuz if they did investigate it any it does take a few weeks..but if he denies its him..what can i do...so many people have the same name and i guess he can lie about his date of birth...but they are such FBI/CIA agents when they want to be...i bet this goes no where...