The 4002 does have a "neck" pickup in the middle position. Just like the 1992 and later Les Paul basses.
But those lacked a true neck pup in my book too, I thought the pups too far back!
They changed that on the later worn satin, BFG and oversize LP models btw which I preferred for that reason.
Spare me with 'Jaco'esque' bridge pups, I hate that bony-skeletal sound. The worst thing about Jaco was his sound.