May I add??? That not all people who are not actively chatting are in private chats. Many, many try to multi-task while in chat.. meaning they are also talking on the phone or texting, watching a movie or even cooking or engaged in conversation with IRL friends.
No, it doesn't make for a good chat. While I personally try to "go away" (my name on the right list will go into italics if I do that, so you know I'm not active in the chat right then) if I need to make some coffee or answer the door, etc., sometimes I forget.
Just do what I do if they don't chat openly... say bye and find another room (or go to the game arcade and knock out a few scores.)