I think the biggest limiters in the weight and tow capacity equation for PWs are:
1. the D rated tires the PWs come with. Their sidewalls are softer than E rated (both rated for 3195 lbs per tire, though) so sway would increase. I went from 33" D rated Duratracks (stock) to 35" Toyo AT3s, an E rated tire, the 35s are noticeably stiffer, and weigh 10 lbs or more over the 33"s. And that is running them at 45 psi front and 50 rear, unloaded.
Also, 2. the PW has softer springs that make it sit an inch or so higher. Meaning they sway easier.
Both of these differences from a regular 2500 are to make its offroad ride softer. I had a 2002 2500 Cummins short bed 4wd that had a 6 speed standard and the "camper package" of 4.11 axle ratio, super stiff rear springs, and a Dana 80 rear axle. What a beast. That was basically a HD 3500 rear suspension. Took it over Tincup Pass in Colorado, 5 years after the Forest Circus stopped maintaining the rocky road; my buddy and I were pretty beat up by the time we got across. And that was with several hundred pounds in the bed. The softer offroad ride of a PW would have been nice.
I'm pretty sure the PW has the same rear axle as the HD 2500s, the same brakes and steering too. Different springs and shocks, and a little spring lift. Don't know if the swaybars are different size between regular 2500s and PWs.