I don't think my specific questions are answered by FAQ on that page.
The only answer I found that addresses one part of what I'm wondering about is "How is this different from configuration management like Puppet or Chef?" However, I did not ask that question.
If you read some of the Mike Burgess's "Promise Theory: Principles and Applications", you'll realize that Operators (and Kubernetes controllers for that matter) are applications and implementations of specific parts of the Promise Theory. This idea that Puppet or Chef is "configuration management" is a story sold to non-technical people. I would argue that Operators may be a _better_ application of Promise Theory than previous-generation tools.
Puppet or Chef running as a Kubernetes controller might be able to twiddle things. It's not exactly a great fit because both would be calling each respective servers rather than using Third Party Resources on the kube master (and such, unwieldy) The DSL in each would have to be extended for things useful for controlling a Kubernetes cluster, but once in place, it can do exactly what that etcd Operator does: converge on the desired state by managing memberships and doing cleanups.
Don't get me wrong: I like the CoreOS technology as well as Kubernetes. I've deployed on CoreOS and Kubernetes before. I get that companies have a responsibility to control the story and the messaging ... but what I am asking are questions that are bigger than any single technology or company, and I like to make up my own mind about things.