I highly doubt that trailer will know it has different tires on. All those tires are doing is carrying the trailer and following the truck. Unlike a car or truck where they're required to stop, turn and accelerate. I would air them as per the sidewall. If you were mixing different size tires and load ratings then, yes you could encounter an issue.
The tires are going to carry the same load regardless of how much air you have in them. Think about it for a minute. If you let the air out of the front or the back tires, will the axle load weigh less? No. The weight on the tires will remain the same. The only thing that's changed is that the rear tires are more capable of carrying the same load as before.