Gentlemen, my blower is back!
Short version:
Today, my lovely wife ventured to the local Stihl dealer and acquired a new coil. After I got home from work I dropped it in, and it ran without looking back. In the dark I ran it though its paces on the leaves in the backyard without any hesitations or stuttering. I could kill and restart it at will without difficulty. It frankly has not run this well in years, which leads me to believe that the coil failure was a process, not an event.
Longer version:
The first thing I did upon arriving home was to measure resistance on the old and new coils, coil tap to plug wire:
New: 1.7 MΩ
Old: 20.4 kΩ
I discovered that two Post-It notes stuck together and adhered to the flywheel provides a shim spacing of 0.203 mm versus the 0.2 mm spec. This made the job of installing it a breeze. Now a confession. I'm a cheap guy. After my last post on Saturday I ordered an aftermarket coil, $13 including shipping. Then Wolf posted to be sure to use an OEM part. After reading that I figured that if I ignored his advice, went cheap, and it didn't work, I'd have done him a disservice. You guys, and especially Wolf, deserve an accurate accounting of this fix, so I spent $48 for the OEM coil. Further, the aftermarket part won't arrive until Oct 18, so better to get this resolved sooner than later.
The only problem I have is that the beast doesn't idle very well. RPMs way too low at idle after warm-up, and the idle adjustment screw is at its limit. I suspect (hat tip to Wolf) that this is because of my aftermarket carb. At some point I'll throw the original back in and I suspect I'll be golden.
But I still have the aftermarket coil coming. When it arrives, and after the heavy leaf-blowing events are finished, I plan to throw that one in just to see what happens. I'll post that result and the carb swap when I do.
I think it was Mark Twain who said that it ain't what we don't know that gets us into trouble. What gets us into trouble is what we know for certain that just ain't true. Man, if he was watching me wrestle with this thing over the last eight weeks, he's laughing his arse off. A dry plug means no fuel, right? Gotta be. Well, perhaps not on this engine. Or perhaps I had a spark that was strong enough to burn the gas off the plug, but not enough for combustion. Whatever. File this under the very long list of bad assumptions I've made over the years.
Finally, it bears repeating. You guys have been great. Like I said earlier, my initial post on this forum was a flier. I really didn't expect any actionable responses, if I received any at all. Instead I found myself immersed in a think tank of great suggestions coupled with sound troubleshooting logic. I can't say I wouldn't have stumbled on the coil by myself, but you guys got me there much faster.
Thanks again to all.