What makes you feel it doesn’t qualify?
Regardless of the outcome of this in the future, the name is in use. It is reported in newspapers worldwide, used by the current US president, and used in all sorts of ways online and offline. Most alt_name never even get close to this level of high profile exposure!
Sure, outside of the reporting, most of this is trolling (including Trump), but that is irrelevant. The name exists and is used, even if it ends becoming a tiny aberration limited to 2025. It may be offensive, but it isn’t obscene or otherwise objectionable. All that remains for OpenStreetMap is to put it in a suitable tag. That it is at the very least an alternative name for the Gulf of Mexico in English, is pretty much established. Being newsworthy does not change that.