Observe!
OK, the replacement coil was good from the start, though my frame of mind wasn't. I was tired and discouraged, and I pulled the starter cord only twice in bright sunlight. The arc was out of my field of vision, and I was still wearing hearing protectors -- so I never saw nor heard anything relevant. Disgusted and assuming more bad luck, I just went in the house.
HOWEVER...I went back out at around ten PM (minus my hearing protectors) and gave it a pull and I saw a huge blue spark.
So, victory on the first real try. It starts on the first pull, goes fine.
So what was wrong with the first coil?
Here, look at this:
Note that the coil wire or some other component is soldered to the metal strap.
But look at it from another angle:
The metal strap was never properly prepped nor fluxed and the wire simply separated by about .003" leaving a stone dead coil.
Yes, I am going to demand a refund!