It's obvious I need to explain where my numbers came from.
A P245/75R16 has a rated load of 2271 # at 35 psi. This is called a 109 Load Index. BTW, this is a P metric tire and the Load Index isn't quite accurate for the load carrying capacity - a quirk since P metric tires are a US based tire standard and Load Indices are a European kind of thing.)
Now, if the tire is used in a passenger car application (For this size, it's obsurd, but for other sizes it isn't!), then the MAXIMUM load that can EVER be applied to this tire is 2271 #. As has been pointed out, it is good engineering practice to have some reserve capacity - my college professior used to say "overdesign / underutilize".
For Light Truck applications, Passenger car tires are supposed to be derated 10%. I'm not sure exactly why that is, but I suspect it has to do with the stiffer suspensions of trucks and the likelihood of being loaded beyond the load capacity of the tire (Those pickup beds are tempting targets for heavy loads.)
That means that the MAXIMUM load a P245/75R16 can EVER carry when on a pickup is 2064 #. This is how GM designed it, and I'm not in a position to rethink what GM engineers spent a lot of time fretting over. Remember, they put a label on the tire that tells what the pressure is supposed to be and there are plenty of sharp lawyers out there who can second guess this decision at their leisure.
For an LT235/85R16 LR E it has a load carrying capacity of 3042 # at 80 psi. It is the same for an LT245/75R16 LR E. BTW this is 120 Load Index.
The key is that this load capacity (Load Index, too!) is the inflation pressure this occurs at - Morty, this means you can't apply the usual rules you use for passenger car tires about Load Index and pressure. BTW, this is also a problem when changing between Standard Load (SL) and Extra Load (XL) passenger car tires.
So, to get the same load carrying capacity in a LT235/85R16, you need 46 psi. Turns out that there is an option where this truck comes with LT245/75R16's and GM says to use 45 psi.
Now we can argue about the truck being empty, but consider that the front tires hardly ever see a different load - the load in the bed would be centered over the rear axle. And GM does test their vehicle both empty and fully loaded and have designed the springs, shocks and sway bars such that the vehicle has predictable handling in both conditions. Again, I'm not in a position to second guess what GM engineers spent a lot of time workigm on and deciding.