You present a lot of scenarios. I guess by a liberal definition of public, the White House is not really a private place as the public is now allowed to tour the place.  People (the public) enter a judges chamber so that is a public place too. Jails are public.  In fact, anywhere people go is public because people go there. The Pope's bedroom is public because he's a person and people are public. 
So there really isn't any private space other than our homes. But wait, people come into my house, so it is public too! 
The moon is public too!