For me, the only format that doesn't make sense is the MM/DD/YYYY, together with its rarely seen worse sibling, MM/DD/YY (07/27/26).
Let's just go with YM/DY/MD (27/26/07)
Agreed. It's objectively mixing the order (medium/small/large)
Let's just go with YM/DY/MD (27/26/07)