Well, some good news!
The owner did reach out to me. He suggested to me exactly what Pawel points out - the LED's longer post should connect to the back side of the board. So I did that with that one bulb I had been using, and nothing. I attached a different bulb and got glorious blue light!
So it would appear I have one bad bulb.
I remain a bit concerned over what y'all are seeing with regard to potentially bad soldering, though.
I figure I'll hook everything up, including running all the fiber optics, and not mount anything in a permanent fashion, and see how it all works. Testing along the way. Something I have noticed is that even when these leads are attached via this wire wrap tool, they still can come loose. Should I go ahead and solder those? Soldering is not something I've done a lot of in recent years, but I figure I can at least get the wires to remain where they need to be; might not be pretty, though. I'll need to do a good bit of practicing on non-working components before working with the live ones.
And to echo Eaglecash, I really did not want to bomb this guy with negative reviews and demands for a refund. For the very reasons that he cites. I would have had he not responded, but it wasn't going to make me happy. Scale modeling is a tough enough business to stay in, as I imagine it is for this type of electrical component products, so I'd rather not be one who would contribute to anyone's business failing (I recognize that my "responsibility" for that failure would be only a minimal part of it, with most of that falling on the owner/proprietor).
If y'all have any further suggestions, please let me know. But a big heart-felt thank you from Texas!