I'm rather surprised to hear about getting good traction in snow with turf tires. I bought a pair of 16.9 x 24's turfs on rims at auction for $90 and put them on my 580 Case backhoe and it would barely move and slid sideways on snow or mud (I have all sloping terrain). I had to put on chains to do anything. Of course it's 2wd and not loaded and that would certainly make a difference. But then again, my big Massey Ferguson 4wd with like new forestry tires needed chains front and rear to keep from sliding sideways on hard packed snow/ice under heavy load. Never ran my Cub lo boy mower with it's turfs in winter, but I know it does a lot of slipping, sliding and spinning on hills when it's wet or muddy.
It would be interesting to see if actual side by side traction tests have ever been done with identical tractors and loads.