Just like a tire, adding weight does not increase the pressure in the bags. The bags simply change shape. They bulge out as the suspension is compressed. He is overinflating them in the first place.
Airbags are there to LEVEL the truck, not return it to empty ride height when loaded. Ideally the truck should ride level when loaded on the overload springs.
Dry pin weight is 3225lbs on the 2014 RW415. Even if loading it added 2000lbs to the pin weight you should be well within the payload capacity of a 2013 DRW Chevy.
X-whatever on these two points:
1. That's what the overloads are there for.
2. How much pressure are you putting in the bags?