Austin:
Your theory has a lot of holes, new sporting tires grab better then tires of the past. The compound and the tread provide traction almost relative to the contact patch.
Just for the fun of it, see how much traction you have with a two inch wide tire on your car. Also petition the SCCA and NHRA so they stop penalizing cars for wider tires. By the way none of us are racing in the snow, but, you were correct with that point.