I don't qualify as an experienced driver by any stretch of imagination, but I do have a lot of miles driving in snow. Clutch style LSD's IMO are dangerous in "low friction" environments, particularly with a side hill (read: road with a lot of crown on it) which would cause the truck to spin unpredictably with no chance of saving it in deep snow. Well that is not entirely true, in some cases backing of the gas quickly and abruptly, which should exacerbate oversteer, would unload the LSD and you would be okay.
Other "extreme" driving situations that would cause the excessive oversteer (though never resulting in a spin) was turning out of a parking lot onto a street. For reasons I can't explain, though maybe Scott will, warm snow and slight slush was worse than drier snow and left turns were much worse than right turns.
Not sure I ever explained this here, but that is why we named the Pathfinder "Odie" -- it liked to chase its tail in the snow.