Earlier quoted context omitted.
It’s not really that hard. Like the imperial system, Americans just memorize how it works as children and don’t think about it anymore. Think about it like speaking a different language, except with numbers and not words.
The complaint isn't about the particular other order, but the fact that the order is ambiguous. In this case that doesn't matter, but often it does. Americans memorize inches and yards, and often also memorize centimeters and meters, and working with either is fine, but we're not so often faced with numbers where it might be inches or centimeters and we have to figure out which (and when we are, it's sometimes a pain…
… all the major predominantly English speaking counties will use mostly hyphens in the dd-mm-yyyy format. So although there is ambiguity, it’s easily resolved by picking that as the default mentally and only back tracking on failure.
Now in the more general case, this whole thing feels like a lieutenant/leftenant situation. We are annoyed simply because it’s not they way that we do things in a peculiar case, when otherwise the language is fully intelligible.