Of course it makes a difference. The room you play in makes a difference. Where along the string you strum/pick makes a difference. Pickup height makes a difference. That's the thing. There are enough factors OTHER than scale length such that it's ridiculous to claim that it alone will make a night and day difference. How many people say their Mustang sounds just like a Precision? What about the Squier Jaguar Special? What if we tried to apply science, recorded a 34" bass, swapped on a 30" conversion neck, and then recorded it again? Oh, but wait, if we used the same gauge strings, the tension would be less. That's another variable. Maybe we can get thicker strings to provide the same tension, but now the change in string gauge is another new variable. So how can we scientifically say that scale length makes such a difference? How can you change scale length on a bass, without saying the difference in sound is also influenced by string tension or gauge? It's well accepted that given the same bass, changing the string gauge makes a pretty noticeable difference.
You completely missed the point I and others were trying to say, which is that at the end of the day, you really can't tell, and things like strings, pickups, and pot values, are probably more important. While the sound clips are long gone, I encourage you to read
this thread and see the conclusions people made about what sounded like what.