Since this is an E350 van, it certainly was designed for LT-E rated tires from the factory, so the door sticker numbers are appropriate.
Door sticker says 55PSI front, 80PSI rear for LT-E rated tires.
So asking/arguing about it is a complete waste of time and breath, at least on the rear: 80PSI is max sidewall pressure, and the recommended pressure on the door sticker. Somehow you guys will still figure out a way to argue about which is right and which is wrong, though.
The PSI ratings are based on the maximum load the truck/van is designed to carry on each axle. These are in turn based off the tire manufacturer's inflation tables, which are pretty much the same from manufacturer to manufacturer when you are comparing apples to apples: That is, a 245/75R16 LT-E to another manufacturer's 245/75R16 LT-E, for example.