I don't live in snow country like many of you do so I readily admit that I have less experience than many of you.
However, as I have often mentioned I recently spent almost three years and 400,000 miles as an RV transporter with a dually including winters. I found that a 2wd dually with regular highway tread tires had fantastic ability to get through snow . . . as long as it was loaded. I had to travel through Amarillo, TX after a significant snow storm a year and a few months ago. Apparently the city of Amarillo doesn't own plows. I pulled a 35' travel trailer through 8" snow in unplowed parking lots with no problem but again, I did have a good load on the drive axle between a 75 gallon fuel tank, fifth wheel hitch, fifth wheel notched top tool box full of tools, jacks, tow chains, etc. and the hitch weight of the trailer on the ball.
I haven't tried it but suspect a 2wd dually would be nearly useless in snow with no load on the drive axle.