I have contributed code to projects "owned" by one of these types of organizations and after 8 months of waiting for my (very small) patches to be reviewed because I wasn't internal, it just didn't feel like healthy Open Source. Calling them Fake Community Projects as a term works just as well for me.

OpenSearch could be a contender (though I did not have fun running Elasticsearch back in the day). I will keep watching it and see how development goes, it's a good call-out.