And this is what I hate regarding engineering vs marketing vs legal specs!
Any engineer would tell you that if you eliminate the weak spot - tires + wheels, then you should be good for the maximum weight the actual axle is rated for.
So physically, I can guarantee you have nothing to worry about. Legally? Who knows...
I will say, as an engineer myself, if I were ever called into court as a "subject matter expert", I would wholeheartedly defend the guy who put 19.5s on a 3500 SRW, and loaded up the truck to DRW weight limits.
If you dig deep enough, I'm sure you can find the engineering documentation at GM stating the 6200 lbs being a tire limit. If you coupled that with the real axle rating from the axle manufacturer, you'll be able to legally defend yourself.