Lyle, I really can't thank you enough for this wonderful thread

.
I got some adhesive copper foil and shielded all of the cavities on my 1983 Tokai 'Jazz Sound' bass last night. It's not quite as neat a job as you made of yours, but it works and I didn't cut my fingers once

.
I also replaced the original pickups with a set of Nordstrand NJ4s (vintage single-coils). The results totally exceeded my (already fairly high) expectations. I expected a decent reduction in hum - what I got was bass that was (at home) totally silent

! Even when I dab my finger on the bridge or strings, there's no difference in the sound (and no 'click' either).
It's funny, as I did a shielding job once before on a Jazz Bass (below) and even fitted humbuckers to it, but that bass buzzed like a saw

. As you can see, I only shielded the control cavity and it didn't do much good ...
Even with these NJ4SEs, I still had at least as much hum as with a normal Jazz Bass ...
I didn't take any pictures of the latest shielding job, but it's basically done much the same way as yours, Lyle, but without the tack soldering (I used reversed bits of the copper foil and still got "0" resistance on the meter). Also, my wiring was much like the standard V/V/T job, except that I ran all of the black wires to a common ground screwed into the side wall of the control cavity.
I can't really judge if it had any impact one tone, as the pickups are different now, but the bass is certainly louder when it's meant to be loud and quieter when it's meant to be quite

.
The one thing which still puzzles me about this whole shielding issue is this; Why don't Fender (and other manufacturers of non-boutique basses) not provide any kind of shielding at all on their new instruments

!? I know that it costs time and money, but so do all the other stages of instrument manufacture

. It seems to me that the huge benefits of it would outweigh any costs.
Anyway, I will be shielding my other basses soon, including my StingRay, which buzzes a little despite having a 'humbucking' pickup. I guess that "bucking" is not the same thing as "eliminating"

!?
Cheers!
Andy