When I agree that any bar will have to have some affect, the truth is that WD bars behind the camper will have to lift the trailer tongue AND the rear of the camper to level the set.
Engineering-wise that is even more complicated as you should calculate axle to ball distance and ball to trailer axle.
I did tow quite a bit in my life, including few thousands miles with 18,000lb equipment hauler and NEVER used WD bars.
Sure never had truck with a stinger.
I think you need to do some try-by-error test.
First how many axles on the trailer? Dual axle are good in preventing sway, but single axle sucks.
I would load the trailer to have less than 300lb on tongue, put air helper bags on the truck to level the set and this way WD bars might not be needed at all.