Stop in for a cup of coffee

I would do the calculation. Vehicle weight vs the tire capacity at max inflation. The tires inflated to max pressure although safer may cause uneven wear. And the rough ride will be transmitted to the tow vehicle.
Just like your automobile, the trailer manufacturer has reccomended tire pressure.
See thinking like this, is a big reason there are so many tire failures on the road. Everything you say makes sense, in the "Car" world. BUT on a trailer, that you cannot tell what is happening back there, no way higher pressure can be felt in the tow vehicle. I have towed all kinds of things tens of thousands of miles, and have learned a tough lesson, install the best tire you can, and keep them pumped up. And keep speed down, the more plys, the slower you should drive, they get hotter the more plys they are. You can combat this with the 10 psi per ply rule.