The OSM Community discusses the Trump Administration's renaming of "The Gulf of Mexico" to "The Gulf of America"
(community.openstreetmap.org)
A quick read finds me the local name should not be recognized under those either. That is, until it's actually commonly referred to like that. Then still, it would only be a local nickname to some region.
And the other two don't appear to apply at all. Perhaps as language evolves a bit in the coming decades this might change.