To the OP...have had both an F250 and F350. The article is simply wrong on so many fronts that I wouldn't pay attention to it. Your issue, it seems like, is the squatting. That can be fixed with bags, springs, any number of aftermarket options.
You may have some slightly lower payload #'s than a comparable gasser, but your truck, even if you're a follow the numbers guy, is likely to have the GVWR, GCWR, as needed to carry / tow your trailer. If your truck doesn't have the GVWR to carry / tow the trailer, then you need to decide if you want to follow those numbers or not. Lots of folks don't and don't have any real problem. Others slavishly follow the #'s without any thought. Me? Even though I'm a follow the numbers guy, I'd probably just level your rig and carry on.
As far as the legal effect of GVWR, interesting to see so many strongly held opinions on this forum. In the case of suing a commercial carrier for causing an accident, GVWR or exceeding it would be near the top of the list of causes of action. In a passenger / RV case (i.e. suing another passenger car / RV for damages), exceeding GVWR would certainly be on the list, but not the primary claim. In any case, exceeding GVWR would in most cases be exceptionally difficult to prove as either a fact (i.e. 10,001#'s vs. 10,000#'s) or as the proximate cause of the event...but as a cause of action to be alleged? Absolutely going to figure into a civil complaint.
As far as "cite a case"....95%+++ get settled and settled cases don't get reported and are usually subject to confidentiality agreements.