I would just note that my tow vehicle - a 2016 Toyota Tundra weighs 7,000 lbs unloaded and the recommended tire pressures are 33 rear and 30 front. The trailer in question Weighs 6,000 lbs unloaded so in the neighborhood of 7,000 loaded. Same number of wheels on each vehicle - two axles, four wheels - so 30psi would not seem entirely unreasonable. I'm hoping someone with the same trailer can tell me what tires and what tire pressure they are running.
I also have a road bike. The tires filled to 65. I might add that they aren't cheap.
So to understand tire pressure one must understand the concept.
What holds up your vehicle is an atmospheric pressure differential. So square area at a specific pressure will lift a specific amount of weight.
What is important to remember is a frame engineer looks at a tire as a black box. He designs the frame for a specific capacity. He leaves the tire design to the tire engineer (He delegates that authority elsewhere). The bean counter argues about the bottom line.
The trailer engineer compromise beyond what he desires. The bean counter smiles because he can tell his boss the quarter earnings are going to look great.
Mean while frame structure is thinner, gussets become thinner, tires fall just in spec.
The customer now has a "lite" trailer,with less than optimal tires and wonders what pressure to fill his tires with. He braggs he can pull his trailer with an SUV or worse. Totally failing to realize his new toy has under rated tires that will come apart at 70, and blame a country because every one of them blew out because he was sure it wasn't about profit.
Upgrade the tires. My trailer tires are E load rated. They are rated for pressure they won't see in there service life. They are inflated based on actual vehicle weight, using a chart readily available on the Internet.
I don't argue with the manufacturer that put a C rated tire on a trailer rated for 7000 lbs, because I know what they built, and why they made there choices.
As a consumer this is what I know.
3500 lbs axles under a trailer designed to haul 7000 lbs is a recipe for failure.
For the same trailer C Rated tires is a recipe for damaged body panels, and ruined trips.
Same as above, under inflated tires.
Over inflated tires help distroy trailer life.
Taking the time to weight the rig, and inflate properly makes the trip more enjoyable while our underbuilt garbage lasts.
Hope that helps.