A quality WDH with sway control is instrumental in pulling any substational trailer with a 1/2 ton truck. That's just the nature of the beast. When you jump up into the HD trucks (especially the dullies), sway becomes less of an issue. Or no issue at all as in this Big Truck Big Rv video:
https://youtu.be/iQwahPcx8tk
Sounds like the OP has a good combination (truck/trailer) when paired with the Husky hitch.