Most 5th wheels trailers are designed to carry 20-25% of the weight on the pin. So the math indicates from your numbers that the GD is figuring roughly 19% of the UVW, I'll go for that.
The forum members are trying to lead you towards a dually with a diesel, I would agree that this advice is sound for a trailer of that weight. Arguments against that just don't make since to me. I tow with a gas engine 2500 that is within rated payload and towing capability. There are many things that I have done to both the TV and the trailer to make the truck/trailer combo safer and a more comfortable pull. My trailer is rated to 10,300 but scales at 9040 fully loaded on the axles. The truck is rated at 9200 and weighs 8920 fully loaded, all weights are trip ready, full propane, fridge, 100 gals of fresh water, pin weight is 1380. If you do the math, total trailer weight is 10,420 or 120lbs over GVW.
Now consider this:
I removed the junk 4400lb Lippert axles, electric drum brakes, and pathetically small 15x6'' wheels and 225/75 15 Trailer King maypop tires. I fabricated a 8'' steel frame extension 6' long of 2x8'' rectangular steel and welded it to the I beam trailer frame on each side to carry the new axles. I had a pair of Dexter 7000lb Torflex torsion axles fabricated to fit my new 3500lb each 17x9'' wheels using new LT e range truck tires on 8 bolt wheels with 13'' vented disc brakes and hydraulic 4 piston Dexter calipers and a Dexter elec/hyd actuator. The hydraulic lines are all steel except for the 16'' of braided stainless steel flexible hose at each axle to allow for axle articulation. So at this point I don't feel over weight given that the trailer now has real axles, wheels, and brakes with a rating of 7000lbs each axle, or 14,000lbs. This did not however raise the rated GVW of the trailer. The tow vehicle has the same 17x9'' wheels, air bags, Bilstein shocks and steering damper. 8 gauge wire is run from the brake controller to the actuator through a custom umbilical cord. Given all these improvements I would not want to pull more trailer than I am pulling now and you are asking about pulling a trailer weighing 60% more that has very poor suspension and brakes and you are considering a SRW truck. I know, there are plenty out there that do use a SRW on trailers that heavy and say that there are no problems. Think about the one trip that has you on a 7% 10 mile down grade and when you get to the bottom and your brakes are now pretty hot as you try to maintain less than supersonic speeds, then an emergency braking/swerving incident arises that you now have to negotiate...Man that diesel dually is sounding pretty good isn't it? Jake brake and 4 rear wheels for stability may make the difference on that day.
Cheers