Being in a logical order doesn't make it less shitty. When else do numbers get ordered from small to large? Putting the numbers in alphabetical order is logical, too, but in an equally "less shitty" way.

The only ordering without a downside is large to small. Preferring "1st of June" to "June 1st" is all familiarity and that's fine. There's ways the American method is "better," too, but we'd be arguing about who stepped in less shit. So let us rid ourselves of these dirty shoes and bask in the perfection of the ISO 8601 date standard!