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It appears to me that Capri's main point is that for road applications excluding solid ice and very deep snow, decreasing air pressure does not give an advantage.
That's not true. In addition to off-roading, I also drag race. I lower the pressure in the rear tires to increase traction. I lower to the point where the rear end becomes slightly unstable and go up in 1/2 lb increments until I find the sweet spot. Even off road, climbing up the smooth, flat granite rocks/slabs we have in New England, airing down adds traction.
I completely agree with Drew. Lowering your pressure whether it's 2" or 2' will add traction. For those who think it's good to add pressure in a snow storm to "cut-thru", please stay home. Your theory has merit, but's it's not going to happen. If you want to "cut-thru", then go to a skinny tire. If you stay with the same diameter, you'll have the same contact patch but it will be long & narrow instead of short & wide.