A picture is worth a thousand words!

Burning man, my comment 're duallies can't roll over etc, has the same meaning in my book as your longer explanation. With that said, yes my navistar is a more stable rig to tow any given trailer I have owned or do own, than either oh my 35 series duallies, SW 3500 series, or 8 lug 25 series, or lighter duty rigs down to a 76 Toyota with a 4 banger in it.
A dually can still roll, as can a tandem dually, as can larger and heavier rigs. ALL can have trailers sway behind them if improperly loaded, towed etc.

Marty