Just goes to prove.....Canadian winter conditions require winter tires no matter how many wheels are being driven!
D'uh! AWD or 4WD may get you going a little quicker, but without the grip of proper tires, stopping and turning will be worse in a vehicle with all the added weight of double the drivetrain. It's simply no excuse.
AWD doesn't add that much weight and can more than make up for it in slippery conditions.
It does aid in turning, you can't purposefully slide the rear end out under power in a FWD car to get it pointed in the right direction quicker, you also distribute power to more wheels so you can get on the power without the front end pushing off into the ditch when you do so.
The torsen diff in my Audi connects front and rear drivetrain, it doesn't like it when the wheels at one end are turning faster than the other ends and will transfer torque to the slower wheels, this helps to limit wheel lockup when braking on uneven or traction limited surfaces, like snowy and icy patches. Helps for stability under braking.
Like sailor723 said though, AWD is no replacement for winter tires, but there's no reason you can't have both.