This is probably the same for all Dodge 2500's as it looks like the fuse box is designed for multiple applications.
My trailer power at the 7-prong plug is always hot. It should only be on when the engine is running. Under the hood on the driver's side (USA), there is a box with fuses and relays where the main power distribution is. There is a fuse marked trailer power and if I pull that the trailer power goes dead. There is also a relay marked trailer power and if I pull that the trailer still has power.
It should go on with the engine to charge the trailer batteries and go off when the engine is shut down to prevent draining the truck batteries when the trailer (in this case a slide-in camper) is parked.
Any suggestions?
Thanks,
Charles