A empty 2wd DRW needs all the help it can get under those circumstances.
I keep hearing that over and over on the internet so I did a test this last winter with my empty 2WD dually and my sons 2500 HD 4X4 in 2WD..Solid snow floor with 10" of fresh snow on top..The 2WD dually did quite a bit better in 2WD than the Chevy 4X4 in 2WD...Mine had siped Cooper AT-3's and his had siped Toyo's..
I have had the same experiences on work duallies with stock standard tires in the mountains for work/snow/ice and mud.They did just as good or better than the 4X4's in 2WD.
We must have special mud/snow and ice in Idaho.(laughing)