You'll be surprised by the difference they make. If you did a back to back test, with your car with the all seasons on it, on a snowy/icy day and then throw on the snows you'll be amazed at the difference.
My 04 Canyon I had all seasons. Then I had goodyear duratracs (a snow rated all season) which was a great improvement. Then to save my expensive summer wheels I bought a set of wheels to use in the winter and put winter specific tires on those, and that was even more of an improvement over my snow rated all seasons.
I need a new set of tires at the moment, and since it's that season, I'll be buying winters, especially up where I live, there is snow on the roads pretty much every day in the winter.
At least we don't get the same amount of icy days that the GTA gets.
Yes, driving habits need to change in the winter, but you combine people with capable snow tires in traffic with people with bald all seasons, the performance difference is so great, especially in breaking, that there will be accidents caused just by that factor alone... Partly due to the aggressive nature of drivers in cities forcing people to either tailgate or have their safe following distance invaded by the BMW tailgating soccer mom crew.