With my direct drive turntables with pitch control, I found that--compared to the tempos Basie set--even a 1% variation made a significant difference in how engaging his band's presentation was.
And this, good sir is why Regas typically measure fast - so that they're more "engaging". Louder and faster is an age old demo room trick. If you're liking "dead-on" 33.33, maybe you'll like 1% faster more, or even playing a 33 at 45.
I'm just kidding about playing at 45, but my main point is to try to ascribe the correct causality to what you're observing. We all fall into this trap from time to time.
The kind of speed stability that results in "better" sound isn't observable with a strobe disk. Having said that, the KAB is a very nice tool, as is the Hagerman UFO.
For those of us blessed with perfect pitch, I suggest we get out a tuning fork or a musical instrument strobe tuner and listen - to verify that playing at dead-on 33.33 actually reproduces music on pitch - that the disk was actually cut on speed (e.g. A=440 or thereabouts).
Cheers,
Thom @ Galibier