Also while it works, it's slightly cumbersome - one will have to ensure not to give in to the temptation of clicking the red notifications, and to ignore the FB Messenger app in Android.

The FB Messenger for Android is a tremendous app that I have been using, over other apps, ironically the main reason is because it's a nice chatting software which does not reveal if you're online and if you've read any message. Now I will have to look for an alternative - Google+ invisibility may be the one.