Not mentioned yet, but you quickly gloss over the order inside YYYY. That's already milleniamillennia, centuries, decades, years. That is to say, YYYY is already ordered from longest period to shortest period. The same goes for MM and DD, that's just how the number system works.
So to keep the order between fields consistent with the order within fields, the only option is YYYYMMDD.
As zahbaz and Arseni Mourzenko noted, the YYYYMMDD formats sorts easily. That is not a lucky coincidence, that's a direct consequence of putting the fields for the longest duration first (and keeping the length fixed; we are introducing a Y10K problem here.)