Fender CS doesn't make 100% accurate reproductions, they just slap some specifications together, and give it a name. Fender actually made a '66RI bass
, with lollipop tuners (hipshot), and pearloid dotinlays with binding (as is correct for the period between august '65 and august '66), and a '64RI
with just clay dots and reverse tuners, which is correct for the first half of 1964. The Fender '60RI Jazz Bass just has the stacked knobs, but lacks the brass earth strip between bridge & bridgepickup, and doesn't have the spring mutes.
That '64 you're mentioning is probably the one that came without pickguard, and is just one of those "custom shop creations".
The tuner/block issue. Fender used own-made tuners from 1965 onwards on the "deluxe models" (being the jazz bass, bass V, Coronado, and strangely enough also the Mustang, (because the Mustang shared the same tuners as the Coronado, which are smaller than the regular tuners)), with some being used on the Precision-Bass as well. In 1968, they all got the Fender-made tuners, with an updated design. The other way 'round never happened, for the simple reason that the Jazz-necks lacked the recessing for the mounting brackets on the Kluson-made reverse tuners. The Kluson tuners have folded brackets, which makes the back not flush, while the Fender-made tuners have a brazed connection between bracket & plate, with a flush back. Mounting a Kluson-tuner on a neck without the necessary recessions drilled made that the tuner wouldn't sit flush on the headstock, bending the baseplate and make tuning a bit more difficult. Not that that was an issue with Fender, because they didn't start making those recessions until 1964, before that, they just forced the tuner on them, as can be seen here
, but that practice was gone by late 1964.
Back of a '66 headstock (Jazz): click
Back of a '66 headstock (Precision): Click
Back of a Fender-made tuner (Jazz): Click
Back of a Kluson-made Reverse tuner (Precision): Click