Traction in snow will be roughly the same for an identical tire width but different aspect ratio. Like was stated earlier, the 265/65 is only .2 inches wider than the 265/70, thus giving a negligible advantage in traction to either tire.
However, narrower tires will offer better traction overall in the snow. This is because the skinnier tire has a smaller contact patch to the road, increasing the force per square inch of contact with the ground. As some of you may know, friction, the phenomenon that makes driving (as well as many other things!!) possible, will increase with this larger force given a constant coefficient of static friction:
F=u*N (Physics is Fun!! :arrow: )
Where F is the force of static friction holding the tires to the road, u (or mu) is a coefficient of static friction which depends on the road conditions (ratio between 0 & 1, where 0 is frictionless and 1 is maximum friction), and N is the normal force that the road puts on the car which, as proven by Newton's third law, also happens to be the same force that the car puts to the road (which I explained above).
Its easy to see from the equation that for any constant mu, the force of friction will INCREASE with the force (N) put to the ground by the car and the tires, so any increase in this force which comes from the increased pressure of a smaller contact patch will be beneficial to traction on snowy roads.
Hope everyone was able to follow that
