If one axle has way less air pressure then the other, diameter, traction, tread wear will be different and the end result is unequal grab from out tires which can throw the ABS/ETC out of wack.
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Do you think maybe this statement is best for 4x4s, in off-road condition with no load in the back? From a car perspective, I've always applied the opposite to the statement above. My old e90 M3, as well as my e46 M3, which are both highly tuned sports cars, both have unequal pressure recommendations from BMW (strict at best for extreme track use and speeds above 120 miles an hour) and both of these cars can do the Nurburgring in 8 minutes under these tire pressure recommendations.
I have set my LR to the unequal recommendations, and although the front might have less pressure, once you get some weight in the back, I’m assuming the car is equalized vs. having weight in the back, and having too much pressure up front, in turn making the vehicle un-equalized. I'm wondering if these are off-road technique settings. I’ve seen so many debates on this and would love to know more – any engineers on the forum?