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that would be true for all the passenger car tires that I've seen
there are absolutely off road tires that are designed to have a bow in the middle and be driven more on the middle section of the tire
My rear weighs 4120 lbs empty. I doubt I'll be running them at 35psi tho when I'm empty.
Hard to believe the rear axle on your truck is carrying that much empty. My numbers are closer to what is posted above. My truck has 2970 lbs on the rear axle with nothing more than my toolbox up against the front of the box with a few hundreds pounds of gear. Even if it is a diesel, that is a big discrepancy. I do have almost 4200 lbs capacity per the sticker on the smaller lower rated tires that came on the truck. Fully inflated to 80 psi I could conceivably run over 5000 lbs payload and not overload the tires.
To the OP. A tire chalk test shows you how much traction patch you are getting particularly on edge roll of tires when airing them down. We used that when I raced cars to set individual tire pressures given a specific track and temperatures. The street or race tires had a mark, an arrow or triangle pointing to the point you wanted the tire to roll to on the edge of the sidewall for max traction after your camber came into play on hard cornering. In this application, I would identify how far over you want the tire to wear (how much traction patch) and adjust the pressure accordingly. Note that it should change with temperature and how much weight transfer you are getting.
From a representative of Milestar about their MT tire, a popular tire out west:
“designed to have more of a crown” … “at the OE pressure”
a popular tire out west...LOL I live "out west" at 8000 ft altitude, looking out my window right now at 13k peaks just minutes form my home. Jeep Rubicon in the garage,many many miles of Jeep trails out my front door and Moab just 2 hours away... I do not know a single person that runs Milestar tires on anything but hey, you found that unicorn!