I'm having a hard time seeing how a noticeable change in straight on nose dive would occur with no other change except switching from a P type to an LT tire (same dimension, same psi). Stiffer sidewall is going to be offset to some degree by slightly smaller air chamber volume as well as the fact that air pressure utterly dominates sidewall construction as a stiffening agent, especially for straight compression. There should be very little difference in deflection per load/psi between the two tires.
On the other hand, I can imagine a difference being felt, at least under hard braking, where the mechanism is different. Namely, the LT tire takes longer to slow the truck due to both more weight and less traction, resulting in less nose dive.
JB, IMHO the best one can hope for with nose dive improvement with stiffer side walled tires from the OEM, is possibly a couple of inches. The rest is suspension, springs, shocks etc. But even those couple of inches makes the nose dive action more manageable and less noticeable. Again, IMHO. The best way I can explain it is by analogy. Take a new roll of paper towels. Lay it on your kitchen counter, then press down on it toward one end. It squishes. So does your P rated tires when the brakes are applied firmly and at a fair speed. Now try to do the same with a roil of say visqueen. Pretty hard to squish. Still can be done, but one must use a lot more force. That to me is the difference between the P rated and in my case, D load LT tires.
Be safe.
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