Surely the logic of the French terminology (like the army's "Boots, leather, soldiers for the use of") is that you start with the most general term or the broadest category and become more specific one step at a time.
That is the equivalent of YY/MM/DD. The progression from general to specific is in one direction. MM/DD/YY starts in the middle, goes to the most specific piece of data and them goes back to the broadest group.

