I think it’s going to difficult to get one bass that does it all convincingly well enough to fool a dedicated player of each type of instrument. I guess the closest you could get would be theoretically have pickup coils selectable at each of the different 70s and 60s Jazz Bridge pickups, Musicman single and double pickup instruments, single and split coils P bass, J neck, EB neck etc... then you need the different pot values to associate it with the different types of pickup, and the different types of preamp for the different active sounds.
Most of us just get several, or get a couple that do the key sounds well enough.