That's just not the case. Have you ever gone skiing? Whether it's snow or water, more surface area = less friction so you glide across the snow more easily.
Traction is so much more complex than Bigger is Better
Well if your talking skiing thats my domain....
Wide skis float on the powder vs. skinny skis ski due to surface area. Friction or traction is actually worse on normal snow with a wider ski. What allows a ski to run in snow is the wax on the ski, as as the friction heats up the snow, a thin layer of water forms between the ski and the snow, creating lubrication. If the ski is waxed it causes the water to bead faster, thus allowing you to go faster due to decreased friction.
Now that I totally took you guys off topic....
I will probably go wide, nothing against the skinny tires, just where we are when we air down, we want to displace our weight out as much as possible, and a wider tire allows for more distribution, and allows for more traction over variable terrain.
I'm currently running a 265/70/17 BFG AT, and I will be stepping up to a 285/70/17 to gain more height and width for clearance and traction over variable terrain.