There are a lot of factors involved in this one. Two different sticks will feel completely different with the shafts at the same height. The height one might prefer with one, is likely to be different with another. The factors are centering mechanism type, throw of the stick, centering tension, switch arrangement and type, and so on. Strong centering with a short shaft may feel terrible, while weak centering with a long shaft could feel sloppy.
Most manufacturers will tune all of this to a specific build, based on the desired result. Unfortunately, installation requirements can require one to go with longer shafts out of necessity, even on assemblies where it may not be optimal. In the end, it's balancing trade-offs for what the user finds most important, or replacing parts to tune the assembly to a specific shaft length.
With a longer shaft where the feel and performance is good, it's a simple matter to use spacers below the panel to achieve the desired height. A short shaft can present a bit more of a challenge.