I think that's great advice in general but my understanding is that chains really do give you traction where the other devices do not--they will actually help you while on ice or while braking, whereas AWD/4WD is useless in those situations.
I am going to disagree, having lived in Wyoming, Colorado and Washington for the last 25 years. We have yet to chain up, and we lived at 8000 feet one winter. My various cars over the years have been 4x4 trucks, SUVs, Vw Jetta, Toyotas and Subarus.
If your AWD/4x4 isn't working on ice, - you're right, that's treacherous. That is when you slow waaaay down, and hope that the $800 you spent in snow/traction tires pays off.In true glaze ice ( ala skating rink) even studs might not work. We do get these ice conditions around here that are like a skating rink, about once ever five years. The highway patrol will close all the roads, and that is when you'd put chains on, drive 5 mph with studs, or stay home.
You use chains when the snow is really deep and not plowed, or if your traction tires are failing you in extreme ice situation. I don't know ANYONE that uses chains regularly. It's like the last thing to do before you leave your car parked and start hoofing it. Or, like this winter when the city never got around to plowing the side streets. 12" of heavy wet snow means chains to get onto the arterial if you don't have the right kind of car or tires. The people that were chaining up were the ones that thought they could get by with "all season " tires, or had low clearance vehicles. Or, another good example is the guy who thinks he can make it up to the ski hill on slick roads with his all season tires, and then the rest of us have to wait while he blocks the road and puts on his chains at his most farthest up point.
Anyplace they mandate chains on the roads they do it to protect people from themselves.
You can't go more than 25 MPH with chains. In California chains are mandatory on passes fore two reasons. 1. Most people don't have snow tires and 2. they don't know how to drive in the snow. Same thing for the Cascades: Seattle gets 2" of snow and it paralyzes the area.
Sure you should carry them, but they are just insurance and a band aid.
Funny story, we were coming into California from Wyoming, had Wyoming plates on the 4x4 truck. Highway patrol was waving everyone over to chain up. One look at our truck, tires and our plates and he just let us pass.
gg