It seems like arguments are being made out of convenience or to avoid churn, rather than trying to seek for a good name, or consistency with the rest of the Teams as @pradyunsg was advocating.
However, maybe churn is good? Not in the sense of having to change URLs here and there (that’s thankless work) but in the sense of “we drop the Authority name that has produced so much grief and confusion”. That way, you also avoid conversations like these:
A: This project/Myself belongs to PyPA
B: Ah, the Python Packaging Authority?
A: …well, it’s “Association” now
B: Oh, I see, so it’s registered as a non-profit then?
A: …not really, it’s an association of people but it’s not formal
B: …ok