If the vehicle is sliding after you come to a stop it has nothing to do with they type of vehicle and whether it has AWD or not. The only factors are the contact patch and the weight of the vehicle.
All season tires should be called No Season tires as they aren't really that good for any particular season, especially winter.
No, the E53 with the wrong tires suck in the snow. Any vehicle with the wrong tires suck in the snow. With a proper set of winter tires the E53 is very reliable in the snow. I had zero issues with mine in the winter using Nokian Hakkapeliitta winter tires and it ran circles around most vehicles.