So then late last night. I was out for a nice, backroads jaunt, and the Stella died on me not once, not twice, but SIX SEPARATE TIMES while I was underway!

The routine became this: coast to the side of the road dead, turn off ignition, wait a few moments, try to restart - but it doesn't catch, wait a few more moments, try to restart, and the bike's running strong again. It was only when I was furthest from home that I finally realized it was going to keep doing this and I'd better head back. EDIT: I think I've solved this issue with some tinkering. See subsequent posts.
Now here's the punchline… during this time, I also discovered the bike has a short/loose connection/faulty wiring in the taillight.

I checked out the bulb and it seems snug, but otherwise I'm clueless when it comes to electrics & wiring. So I guess I'm limited to daylight riding until I can get THAT seen to. Grrrrrr!