This is the bass in question.
https://www.andybaxterbass.com/collections/bass-guitars/products/1965-fender-jazz-bass-sunburst-3
My early 1967 jazz bass has lollipop tuners. (Serial number is 1966 but the pickups have a 67 stamp date).
I have no idea what the reality of this (and in all honesty, I don’t care), but it is interesting all these differences. My 1967 bass is totally original but doesn’t have a button on the back of the headstock. Why? I don’t know.