The observation is true only when discussing identical loads. Since none of us is running a 10,000 truck, we don't need to pressurize the tire to handle 2,500 pounds per tire. The relationship between P-metrics and LT's remains the same, but it is simply not true that one "needs" to run 45psi in an LT if we were running 35psi in a P-metric if 35psi in the P-metric was not required to start with.
Running underinflated tires does generate heat due to increased flexion in the tread and sidewall. But it is not necessary to assume that reducing inflation pressure to compensate for light loads will generate excessive heat. Example: today I inflated my LT235/85/16 BFG AT's to 30psi front and 28psi rear on my CJ-5, then ran down the mountain into town on the county blacktop at moderate highway speeds, 35 to 55mph. Turned around and drove back, then checked the tire temperatures with a digital IR reader. Ambient temperature here at the time was 84 degrees. After the 14 mile run on the blacktop, the sidewalls of the front tires were 83 degrees, one degree less than ambient, and the rears were 94 degrees, 10 more than ambient. Tread temperatures in the center of contact were 101 degrees on all 4 tires.
I can't explain why the front tires would actually have less than ambient temperatures in the carcass, and will have to repeat the experiment (possibly they were not outside long enough to reach ambient temperature to start with). Nor do I yet know why the carcass temperatures would be different by 10 degrees unless my assumption about weight distribution is incorrect, or because the driven wheels get more action. Having a locker in the rear might also contribute to tire scuffing, which could cause slightly higher temperatures in the rear.
Point is that although the tires are E range tires and were inflated to 30psi or less, they did not overheat. Actually, they didn't heat all that much at all. I would not consider a 10 degree rise in tire temperature abnormal for any vehicle driven on pavement.
I also watched for tire deflection in corners, and took some of the mountain roads at a stiff pace to see if the tires would act as if they were underinflated. They didn't appear to be abnormal at all. I observed very little tire roll during hard corners, and the front tires are easy to see from an open early CJ, so I don't feel that the tire pressures are under a safe working pressure. In fact, I intend to try lowering pressures a bit, as I am not getting full contact on the tread. Close, but not full contact.
Final observation - the ride on these E range tires is smooth and plush, not harsh at all, even on my lightweight car. No doubt if I ran them up to 45psi as some have suggested, it would ride like a farm wagon, but then at 45psi they would have sufficient pressure to support 2,030 pounds per tire according to the TRA load capacity charts, and the vehicle weighs only about 2,500 pounds tops, so 45psi would be far too much anyway.