a) Escorts have never told me about a neighbor, or even the names of any of their clients.
b) The major exception was someone who was retiring and talked about his life in general. The celebrity he mentioned would not surprise anyone on this site. And even if the name had been a surprise, it was a private conversation. I certainly knew enough not to repeat the name.
c) Everyone already knows I am gay, so it would not bother me much if an escort mentioned my name occasionally