I replaced a LPD30 with a HPD30 this past year and carefully measured angles throughout the process. I saw a 1 degree increase in caster angle with my 3” lift. So not nothing, but also not much. This might vary with different lifts.
The jeep drives and steers better and has better directional stability, but that could also be due to having rebuilt axle with all new ball joints, etc. Return to center is still mediocre but slightly better.
The only reason I went with HP is that I was going to rebuild the axle anyway with new gearing, axles, locker, and it only cost $120 for a good bare HPD30 housing so why not? Driveshaft length only changed by 1/4 inch so I didn’t have to replace it.