This test would be as close as you could get from a PRODUCTION bass point of view - to prove once and for all with a comprehensive ear test to quiet the physics and tension naysayers. Hey, quite frankly, you can stick your physics in your ear - as in the end it all comes down to your ear. It is all about sound and perception of sound. My contention is still that you won't hear the difference in scale length - AT LEAST between the medium and long scale.
An ever better test perhaps, would be to get the same luthier to build all three basses out of the same exact trees, using the exact same wood - but a bit impractical and could take a long time. Instant gratification could be yours for the taking on my challenge.
I just think this whole thing is amusing. A guy walks into a music store somewhere and picks up a Gibson SG or equivalent with humbuckers, which has the wrong strings from the factory and is pulling the wrong tension - or he picks up a Mustang with non-standard Fender Electronics - neither are set up properly and neither have strings pulling the proper tension - and he finds it "floppy" - or he just isn't enamored with the sound - and the rest is history as the myth becomes perpetuated. "All short scales now feel floppy and just don't sound as good as long scales".
When I owned my EB-O in the late 1960's, I had a special capacitor installed to add some brightness and used a wah-wah pedal locked in the on and down position in order to get a sound that would cut through the mix. It allowed me to get the proper "bark" and it sounded amazing using very little EQ. I also upgraded a size to heavier strings.
Very few of us have managed to compare apples to apples - Fender to Fender to see what a myth scale length truly is. How many Fender Jazz medium scales have you played?
Oh, I see.
BassHappy
PS: A perfect idea would be to do it at "Gearfest" next weekend at
Sweetwater. I am sure I could talk Chuck into using their studio for the test, and we could even get him to record and probably video tape the test for posterity. Only problem is, we need a fairly new Fender Japan JB62US and a Smart Scale JBSS. I have the medium scale. Other problem is my schedule, which I might be able to rework.