You are correct. Your Detroit works like a lunchbox locker and replaces the spider gears, so no problems swapping that between carriers. However, the military CUCV 14 bolts had 4.56 gears and 4.56 carrier that will only accept "thin" gears. Randy's lists 5.13s as being the deepest gears available in thin cut, but they're just as pricey as 5.38 "thick" gears and a 4.10 carrier. A 4.10 carrier takes thick gears in the deeper gear sets to get the correct gear mesh with the offset of the pinion and ring gear mounting location on the carrier.
Long story short - Detroits swap between carriers, thin gears for 4.56+ carrier in the deeper gears, and thick gears for the 4.10- carrier in the deeper gears.
Hope that came out clearly laughing1