There are various setups here in SC. Some of the older places down on the beach will have the wooden dividers but you can see through them as they are basically slats, or kind of like shutters. Then you have the fancy restaurants in Charleston where every man has his own special little private room with a lock on the door so he can pee in private.
If I am about to burst and really have to go, I don't care who is around, I will take it out and piss. I do subscribe to the rule that if there is a line of vacant urinals, I do not just go to the one next to another dude. Maybe it's an American thing, not sure.