Are the rules for pissing contests similar to those for other duels?

As a misty dawn breaks on the lonely heath, two carriages arrive. The antagonists get out and stand apart. The two seconds, dtressed in black make a formal attempt to see if a reconciliation can be aggected.

And then the duellists stand back to back, walk the prescribed number of paces and turn...

Or would it be the Western version of duelling, where the opponents walk towards each other down a deserted main street, with everybody peering out from behind the shutters? And the assumption is that the villain is cheating, and has a partner with a water cannon standing on a roof somewhere, only to be washed away by the hero's sidekick with a firehose.