So the Agility is fixed and is purring along.
It turns out the stator and rectifier went bad and a confusing series of symptoms and misdiagnosis made the process worse. They were replaced along with the CDI. I assume the stator went bad, it destroyed the rectifier, and the CDI didn't need to be changed.
Here's the missing piece that doesn't seem to be available anywhere. The output of a new OEM stator is:
White wire: 12-40v
Yellow wire: 9-40v
It's hard to get these measurements, and I think the top end could be somewhat higher, but this is a good range in my experience.
My problem stator was producing:
White wire: 18-25v
Yellow wire: 14-16v
It looks like when a stator starts to fail the range of volts it produces narrows.
Note: the manual lists the A.C. Generator (stator) as producing .1444KW at 5000rpm. I'm not certain how to use that information in the calculation of watts, volts, and amps. I think they should include these volt measurements.