The 2500HD's are good for 1,500 lbs on the tongue, but you want to be around 1,150 lbs on the tongue to land in the middle of 10-15% recommended range, so use a WDH to move some of that tongue weight forward and help level things out. (a trip to the scales is always a good idea on a new setup)
Your truck probably has electronic sway control btw (my 2013 does), so WDH based sway control may be slightly less of a concern.
A few years ago I went from an F150 --> 2500HD, but on a smaller trailer (6K / 650lb tongue), so I was able to forgo WDH in that case. The big advantage for me was getting more payload as I was maxed out w/ the F150 on paper.
I miss the F150 when I'm not towing, but I'm way happier with the 3/4 ton when towing. Little heavier, bigger brakes, stronger suspension. It's just more "truck", if you catch my meaning.
2013 GMC 2500HD Crew Cab SLT 4x4, 6.0L
2016 Jayco Eagle HT 29.5 BHDS