Okay, a somewhat long-winded update on the mysterious speedometer cable issue.
First off, the speedometer unit itself is fully functional. I chucked up the end of the old cable in a cordless drill and "slowly" rotated it in reverse (causing the cable to turn in a clockwise direction). The needle and the odometer both advanced.
Second, despite what I reported earlier, the new cable is EXACTLY the same as the old one in terms of length. I should know better than to take any measurements after 7:00 pm or so.
Third, the speedometer gear box on the front wheel is correctly positioned and fully functional.
The problem (I'm convinced) is that the square, inner "twist" cabling that actually rotates and allows speed to be displayed is not being properly positioned between the speedometer and the gear box. That is, there is insufficient adjustment on the gauge end to limit the cable play "upward" into the speedometer connection. So, free to move backwards into the speedometer, the mating of the opposite end of the cable with the drive box gear must rely solely on gravity (which is evidently inadequate). As a result, the cable is simply failing to stay engaged with the gear.
Since lengthening the inner cable or shortening the outer cable isn't an option (nor is extending the threads on the gauge connection nut), I ended up inserting a ~3/8" long cylindrical shim of approximately the same diameter (into the speedometer end - just above the inner cabling). Without exerting any downward pressure (to avoid friction or binding), it limits the upward travel of the inner cable - keeping it engaged with the gear box.
This isn't the most half-assed, "Mickey Mouse" solution I've ever concocted - but it's close. Why it's even necessary continues to baffle me. One thing I neglected to mention (and am not sure is relevant) is that to keep the stainless braid from turning brown over time, I sprayed a coat of clear UV protector over the outer cable (I had read about rubbing on sun block, but didn't have any handy). It is possible this coating somehow affected or limited the pliability of the cable and, subsequently, the fit of the inner connector from the gauge to the gear box?
Anyhow, I now have a functional speedometer - though I'm sure when it comes time to replace the cable again, the shim falling freely out of the speedometer unit will warrant a giant face palm.
I'd sure like to hear others' thoughts on this. I've exhausted all my theories (but at least I can ride again).

Terry