I have load range E or 10 ply tires and I was scared away from trying them due to the very type of statements in this discussion. The tire I wanted only came in load E, so it was either forget it or find out for myself. Research gave me enough confidence to try it and I'm glad I did. As a result of all this, I tend to think that most of the reputation for the stiffness of high load tires comes from the fact that they're usually used with higher pressure and that the tire, not the pressure, is blamed.
Yep, plies is an outdated term which is why I use load range (unless plies or ply rating is used in the discussion). If you take a look at a load inflation table, you'll notice the load/pressure numbers for LTs are identical among load ranges, the only difference being that max pressure (and thus load) gets extended up the load range ladder.
I'm just trying to differentiate between the type of off-pavement use that could be handled by a P-rated A/T and the type of rough treatment where an LT might be called for.