@ramsey it's production ready. The RST parser is a collaboration with the #Typo3 documentation team. They recently switch to our parser completely.
phpDocumentor itself doesn't contain the latest version yet. I expect a new release somewhere this month. Since 3.3 it's really usable.
We do have a GitHub action so it's easy to integrate in your pipelines. No hosted solution right now. But maybe that will follow in the future. Might be a nice idea. However GitHub pages also works.
cybersmog
ProvenPudding