Nope. Tyres are completely irrelevant to the majority of drivers who simply don't have the first idea how to cope with the conditions, so shouldn't be on the road in them, snow tyres or not.
Spot on

I've driven around for 24 hours on the crappiest plastic tyres in the world that were worn to 2mm (max) on the rear of my car and I've had no issues at all, passing stranded 4x4's as well as numerous WWD PooBoxes because I was
prepared and had the appropriate things in the back of the car

OK, it was "interesting" at times and they were shockingly slippery in the snow but I managed "The wrong type of car for snow"

When I was working recovery we still had to get out to people, especially if there was an RTA/danger, and the slideback lorries have absolutely zero weight over the rear (drive) axle

What would be far more beneficial would be to put a skid pan course with a test) in as part of learning to drive so that people actually learn how to deal with it
