I think, really, that the reason I (and my parents) go/went behind closed doors is that a spanking is punishment enough. There's no reason to add public humilation to that punishment (unless, of course, public humiliation would add to the justice of the punishment).
You don't put kids in time-out in public, either. You also don't take their possessions away from them in public.
Tell me one punishment, other than taking your kids home, that you DO do in public.
