The sway issue is a good point, Bob. I was in a truck with singles that was towing a gooseneck and the driver told me to look at the tires and how they flexed when going around a corner. When we switched trucks to the dually and we were coming back, we drove part way with the gooseneck still loaded and he told me to look at the tires as we were turning. No flex on the tires. Big difference. Both trucks had stuff in the back with the one ton having a diesel fuel tank for filling his off road equipment.
When a truck is hauling AND towing a heavy load, duallys are the way to go. You could get H rated tires, but then you need to get rims that can handle the air pressure. Then you are pushing the limits of a truck with singles. When you run an object near its limits, it breaks down much faster. Cheaper and safer to operate more withing the limits than run near the limits. I wouldn't want to get a flat towing that much weight.
One tons tend to have larger brakes, too. Stopping is important.