Interesting to see these replies. A lot of replies match what I've already thought, which is that the extension of the fretboard has no real effect on sound, but that a lot of people do have preferences for visual and tactile reasons.
For visual and tactile reasons, I am team End at the Body. I have wondered if it contributes to the sound, but, especially after reading this thread, I'm thinking that it is an aural placebo effect.