People have to understand just how much more thermal capacity the soil has compared to the air. Our soil almost never freezes. In the vast majority of our snows the ground never freezes. The bottom 1/2 or so of snow (true to its properties) act as a cap to the heat. But when you add in these 6 -1 ratios you're talking a significant amount more water than air in the snow which will absorb the heat being released vs insulate. If anyone is modeled under 2" I'd be shocked if it even accumulated on mulch beds.