I have the tires listed below. I run them at 40 to 45lbs depending on load. IMHO, and this is only my opinion, yes they helped some re nose dive. To me, the nose dive was NOT a big issue with the OEM tires. (Im getting older, I brake sooner and more slowly I guess....) Everybody else who says shocks, springs will help more, spot on. Where my tires helped the most, again IMHO, was with body roll, over-steer/under-steer type movements.
The stiffer sidewalls made all the difference in the world when cornering. With the soft P rated side walls of the OEM tires, I really felt that at times, the tire was going to separate from the rim! I know, my imagination, but that is the way I was feeling the turns. Now, no problems.
Yes, there are much better "P" rated tires out there which I think depending on personal use, can do a better job then the OEM, but I simple prefer the stronger sidewalls of an LT tires for various things I use the vehicle for. Overkill, sure. But better overkill then ooopps.....be safe.