Just think of it like the Toyota commercial, where they showed the Tundra pulling the space shuttle. It had zero hitch weight, in fact they had to add weight in the back of the truck, but it could still "pull" it. What they didn't show was that they only pulled it across a bridge, about 300', because of overloading the bridge with the regular towing setup they used for the rest of the trip. But I digress. The others are correct. Stick with a 3/4 ton for towing.
Becky, Bob and Taylie & Bode
2009 Silverado 2500HD Duramax/Allison
2014 Heartland Sundance XLT 245RL