I have seen some very old 2cvs in some strange places, definitely a car that you can keep on the road with parts and tools that can be found or fashioned locally. A noisy thing to be driven in though.
I didn't really think about the reasons for its lightness, for a cheap car for the countryside it makes sense.
I read once that Citroen had planned to launch it just before the war, cancelled when the phoney war began and buried the prototypes until after the liberation.
Main problem with 2CVs is that the bean tin thick chassis rusts through. Got a mate who made one out of extremely lightweight girders and as the shockers are horizontal the whole chassis is pretty much flat. Once you see them naked (without the body shell on top) you realise that there's not much to them.
I'm not advocating buying one of the French bean tins with an engine, just using them as an example of skinny tyres being a hell of a lot better in snow than low profile tyres.
For years I lived in a fairly out of the way part of Cumbria and we didn't have a 4 wheel drive vehicle, we got snowed in sometimes but a Landrover wouldn't have made any difference when the snowplough got stuck so we went to the local shops on a fell pony.
I've had to sit on the bonnet of my mothers front wheel drive Austin Allegro while she reversed it up a hill before, bounced the backend of a Morris Minor flatbed to get traction and got my rear wheel drive transits past stuck* 4WDs when driving out to the hills to go walking.
I don't have much time for posh 4WD vehicles, they don't seem any better than a cheap 2WD that you don't have to worry about.
Taking it easy and just keeping a bit of momentum up helps a lot.
*Feckless owners more like.