Basically less body roll and movement, with old junk shocks the body moves arround more and that affects the way that the tires contact the ground, it changes the load on the tires, a big problem mid corner, and when the tires don't sit square and firmly on the ground unplesant things happen.
On a rough corner the bigger issue is having the tires bounce off the the ground, or even bounce up and reduce the weight transmited to the ground, even for a fraction of a second, means the other tire needs to hold the entire front end in place, if you are a conservative driver you may never notice it, however if you drive at a slightly brisk pace (not even fast, just not slow) on the same road every day and are very aware of the way the truck moves then it is easy to spot.
With the tires constantly and solidly on the ground one smooth steering movement takes you all the way through the corner, with bad suspension constant corections are needed to keep the truck on your line through the corner(For those not familiar with the term "line" in this context it refers to the imaginary line that you choose to follow through the corner before you enter the corner, not the lane markings)
The rear axle was the bigger issue, and get this, last set of shocks were gas in the front and hydro in the rear, ***??? The rear axle was hoping off the ground, even with several hundred pounds in the back, the rear of the truck would then reposition its self several inches to the outside of the corner so the front end of the truck was pointed in a new direction

and requires repositioning to compensate, rear end movement has a significant impact on the handeling of the vehicle.
I'm not sure if that clears things up or confuses them more

I basically took what I learned making my BMW 325is fast and applied it to the truck.