A lot is down to the tyres you have on when it is snowy.
Pukka M+S winter tyres make a hell of a difference compared to the 'fast-road/track' tyres most of us have on our scoobs.
The compound on proper winter tyres remains soft and pliable at temperatures where our normal tyres go hard and teflon-like.
I have a set of wheels and Michelin M/S tyres that I put on when the snow comes (currently in my shed - doh ! - guess what I'm doing on my day off tomorrow !)
Ice is a different matter .
If there is no traction available , even with the best 4x4 (LandRover etc) , you will have 'no wheel drive' unless you have metal studded tyres like the have to fit in Scandanavia in winter (by law !).
Al.