Let me give you my perspective as an organizer:
I carefully select CBJs and pre-assign them to tables. When the judges check in they simply find their name on the seating list posted at each table. It is often necessary to offer a judging opportunity to a few VIPs for political reasons, but if they are non-CBJs I use them only for ancillary categories, not the main 4 meats.
The Reps I use are the best available and I would trust them to sort out the judges for me, but by doing it myself in conjunction with selection makes for a more efficient process. Plus that leaves one less thing for the busy Reps to handle on contest day. I would encourage you to actively communicate with both the organizer and Reps at every event you judge. Far too many CBJs fail to do this and it is the source of most misunderstandings.
Finally, never forget that judging is a privilege, not a right. When you apply to judge you are asking for a job, not claiming a benefit that is owed to you.