Towing with Dedicated Winter Snow Tires (snowflake rating)

Dedicated snows are a great choice. I've frequented a lot of the snowmachine areas in the mountains and never had an issue with a good set of AT tires (before I siped tires).
True statement, snow tires are better slippery traction with half tread than other multipurpose tires, but they still won't dig through loose or deep snow like a tall/ deep lug.