I doubt sway is going to be a problem. What you may find is a bouncer ride without a wdh. I to have a 3500 but my tt is 6200 dw/8800 max. After fooling around with wdh & without I found I liked the combo w/wdh and set pretty stiff. I traveled some pretty sad roads that went up and down every 20' or so. The WDH took care of that pretty well. Mine has friction built in ( like the equalizer). The downside is it's sort of a nuisance to hitch as compared to a simple hitch set up. You may find you need nothing more than a simple hitch. And that would be priceless
Cheers