The McKinley name for the mountain was by a prospector, ginning up support for a presidential candidate. A bunch of people showed up, started digging for gold, and just ignored the local names for things.
Denali is historically relevant, and locally relevant. It seems like a reduction in politics, not a continuation.
> It seems like a reduction in politics, not a continuation.
That's an odd take given that there was far less political discussion around the mountain's name prior to its renaming under Obama.
Look up the etymology of Mont Blanc or the Himalayas -- not especially pregnant with meaning either. The point is that using the local name, if it existed, was a pretty well established principle in cartography, made more conspicuous when overlooked, as with Mt. Everest. And Denali.
[1] https://www.davehansenwhitewater.com/how-the-tetons-got-thei...
Seriously though, let the locals be in charge of naming things. As a Texan, I've always just called it the Gulf. But if asked, it's full name is Gulf of Mexico, named after the Mexica (the Aztecs to you and me).