There are much simpler and more efficient ways of doing what you want to do.
1. Run the fridge off propane and be done with it. Nothing bad is going to happen. You've been watching too many movies.
2. Run a dedicated charge line directly from your truck's battery to the camper's battery.
Every time you convert energy from one form to another, you lose some of that energy. In the case of an inverter you lose a LOT of energy. They are not at all efficient. By going straight 12VDC to 12VDC you cut out converting 12VDC to 120VAC, then back from 120VAC to 12VDC by the camper's also-very-inefficient CONverter. Instead of wasting all that energy converting back and forth, you put that energy into the battery, so it charges much quicker.