For any scheduled date it is irrelevant if you miss it for a day, a month or a year. So from that perspective every part of it is exactly the same, if the date is wrong then it is wrong.
You say that it is sorted in the order of most significants, so for a date it is more significant if it happend 1024, 2024 or 9024?
That may be relevant for historical or scientific purposes but not much people need that kind of precision.
Most people use calendars for stuff days or month ahead or below, not years or decades.
If I get my tax bill, I don't care for the year in the date because I know that the government wants the money this year not next or on ten.
If I have a job interview, I don't care for the year, the day and months is what is relevant.
It has a reason why the year is often removed completely when dates are noted or made. Because it Is obvious.
Yes I can see why YYYY-MM-DD is nice for stuff like archiving purposes, it makes sorting and grouping very easy but there they already use the best system for the job.
For digital documents I would say that date and time information should be stored in a defined computer readable standard so that the document viewer can render or use it in any way needed. That could be swatch internet time as far as I care because hopefully I would never look at the raw data at all.