It's more likely that my lack of snow practice was to blame. I stopped in the drift while the mrs went off to get something, and then when she came back a few mins later the wheels just spun. If I hadn't stopped there I think we'd have been alright, as it wasn't the depth that was the problem. I know for next time!I have tried it, many times, and it is exactly as I say.
A 2wd tractor, with massive treads on the back wheels, is not very good in snow either. A tractor with lawn tyres on is better.
Snow compacts into the small treads giving you lots of grip. With the knobbly tyres, the snow packs into the vacant spaces in the tread blocks, and the wheels start spinning,