The "state affiliated" label on Twitter was originally applied to sources that are not editorially independent from their states. Twitter put this label on NPR, then removed an explicit mention of NPR as non-state-affiliated from their public policy related to the label, then removed the mention of editorial independence from the policy entirely, then changed the label to "state funded."
I think it's easy to see why NPR objected to the initial "affiliated" labeling, and that they see the new one as just a quick wording change to try to bat back some criticism, but that it carries the same stigma.
In terms of the affiliation of the author, this is a story written by NPR itself: https://www.npr.org/2023/04/12/1169269161/npr-leaves-twitter...
The poster here on HN just happened to post the version from WBUR's website. Also, I don't know if it was edited later or not, but the piece both on NPR's site and WBUR's site has a disclosure at the end explicitly stating that it's NPR reporting on itself.