I just got a Ring cam and during setup it asks if you'd like to black out any regions to prevent recording neighbors, so that may be an option they just aren't aware of. Doesn't solve the audio issue if they aren't willing to disable it though.
I even tried to meet them half way and said you can keep recording audio and video, now that I understand the trigger zone, but I was met with hostility the next day when I saw one of them in person.
Although, even with the trigger zone, they can just live stream it anyways, not that they are that kind of people, but clearly, I struck a nerve with them. I am still friends with one of them, and all their kids. So it's just one family member that sees things differently.