No expert, but - probably work wonderfully in snow back in Ontario if no more than 2 1/2' to 3' of snow maximum, just as they showed in the clip.
I have grave doubts for those around here on open fields with 5 to 7 feet of soft snow. There becomes a limit as to how much snow you can push - I know that from doing just that, with chains all the way around and locked differentials. There comes a point where it damages the grill and hood.
As for on sand, would probably work fine, even better than on snow, due to the compress-ability of sand, until the sand abraded/wore out all contact points (nylon or teflon) bearing surfaces, unlike snow which lubricates for the most part. I'd think perhaps 1/2 mile to a full mile might do it with sand.
I expect there is the possibility to use these basic tire driven track ideas so they'd work perfectly in sand, indeed, if addressing then eliminating the problem of extreme abrasiveness of the sand with better or more appropriate sliders, they'd would work better on sand than the snow system on snow. Extreme depth of sand would thus not be a problem, I'm sure. The tracks would not have to be as aggressive, I don't think, but paddles would indeed add a measure of hill climbing ability. LOL
My 2 cents worth for you - free.
-------------------- Daryl
"a gun without hammers is like a Spaniel without ears" King George V