Yep, that's pretty much it. You keep each others score as well as your own so you'll have something to reference when it's time to tally up what was shot. I've always went to the scorers tent/table and verified my scores and my playing competitors as well and then the official at the tent/table will go over each of our scores and any errors are corrected before any of the cards are signed.

I assume that these guys have been doing this for so long that they assume that everything is correct and they sign prematurely...then adios!