I was in a tire thread with all the usual suspects :) recently. The answer for tread shear was that LTs and STs both need to be at full rated PSI to withstand that on a trailer, where you get all that twisting when parking if the trailer has two axles.
The same LT tire on a MH would only be pumped up to the PSI needed for its load as measured on the scales, using the tire's load vs PSI table.
So the next problem was 15 inch tires which are hard to find in LT but easy to find in 16 inch.
If you have 16 inch you have a choice, but if you choose LTs and have a trailer, be sure to have them at full PSI even though they won't need that for the actual weight. You don't lose that much from middle tread wear by over-inflation, and you gain on the tread shear issue for a trailer vs a MH.