No it does not make sense to me. IMO you should always run the tire at near max pressure shown on the sidewall off the tires.

I own and maintain a fleet of trucks and trailers since 1983 for work. I also do a lot of personal towing.
Max pressure is best for the best wear from your tires no matter what the load is.

I mount and dismount tires at my work shop on regular basis and have bought more tires over the years than you could believe.

I know for a fact max air pressure is best.

Got agree with Rhino above, a 1500 truck is made for light duty comfort and is not best for towing and you can't fix it with tires or altering the air pressure when it comes to towing.