Do all lightweight large TT's tow terribly, or just ours?

If your auto leveling is pumping up the rear it will unload your weight distribution and defeat your anti-sway benefit of the Equalizer. It will also harden your rear suspension and make it serve as a fulcrum to help unload your front tires. You might try to pull the fuse on that system (if possible) and set up your hitch as though auto level didn't exist. Then give it a try.

Thanks for your service.