The tire placard and the pressures listed are a recommendation only and may or may not be the correct pressures for the job.
Recommended pressures wording on the placard does not mean "the correct" pressure. Its simply the vehicle mfg recommendation as required by the the FMVSS. Its simply a guideline for the owners that isn't sure or have the necessary experience to determine the best tire or pressure for the job. Same with a minimum pressure chart.
IMO the tire placard is not the holy grail as a few seem to think. NHTSA says this about the placard. Note; wording like "a information label" and "recommendation".
safecar.gov
Frequently Asked Questions (FAQs)
1. What is a tire “placard?” And where is it usually located?
A tire placard is really just a fancy name for a tire information label. This label contains several key pieces of information: (1) the vehicle manufacturer’s recommended psi (pounds per square inch) or kilopascals (kPa) of air pressure for your vehicle’s tires, (2) the maximum weight (or “load”) you should have in your vehicle. Load or weight limits are usually given in terms of number of occupants or total weight (in pounds or kilograms) and (3) the recommended tire size."
Never heard of derating a tire on a trailer with those minimum pressure charts till the last few years. IMO not the best choice.... for tires on a trailer.