Dave,
That's been your best Fundamental Friday:
Storytelling is very straightforward, every aspect very well explained.
A minute critique:
You did not mention, that by cascading those OpAmps, your initial/superior goal of high precision DC gain will deteriorate.
One stage only will give 2 x 0,05% DC max. error, 2 stages will double that worst case value by 2 because you will have 4 instead of 2 uncertain resistors.
The probable error might follow a SQRT law, therefore 2 stages will increase uncertainty by a factor of 1,41 at least.
Anyhow, a fundamental error analysis, plus data from your series production / testing would make up a nice next-next-next fundamental Friday, I suppose.
Frank