Myth: Wide tires provide better traction under all weather conditions. In fact, putting oversize snow tires on a car delivers better snow traction.
Fact: The opposite is actually true. Wide tires tend to "float" on deep snow, and the tread lugs never have a chance to "dig" through to the road surface to gain traction. Narrow tires are a better option in deep snow. The tire acts similarly to a knife cutting through butter; the blade works best when using the narrow edge to push through the butter rather than the wide flat side of the blade.