Can we discuss your use of the term "generator"? Is it not an alternator? ..........
My 1963 MGB service manual called what it had a generator. It exactly fit the definition you used.
Virtually everything I have seen since then has been popularly called an alternator, but all of the technical documentation I have refers to generators.
The service manuals call what we have a generator, so that is the terminology that I use for it.
I think there are two ways to apply the definition in this case: 1) The type of current supplied (AC vs DC) and 2) The technology used (moving or stationary windings).
Do you define it based on what it does, or by how it does it?
I suspect that people started referring to them as alternators when the technology changed in the '60s to differentiate the two designs even though, in the strictest sense, it was still a generator.
I would like to find some early references to one, would it have maybe been called an "alternating current generator"? Later shortened to "alternator"?
This might be similar to turbocharger vs supercharger where a turbocharger is technically a turbo-supercharger.