It’s less the formality and more the hypermodern idioms that feel out of place (what’s the opposite of anachronistic?) in talking about a historical subject. Like, yes Mark Twain had the rizz and the Confedussies took the L but that’s probably not how I’d discuss it.
In this case? Anachronistic still. Anachronistic just means something like "belonging to a different time period," and it doesn't strictly imply earlier or later.