DDMMYY is perfect for daily usage.
Except that DDMMYY has the huge ambiguity issue of people potentially interpreting it as MMDDYY. And it's not straight sortable.
My team switched to using YYYY-MM-DD in all our inner communication and documents. The "daily date use" is not the issue you think it is.
No country uses "year day month" ordered dates as standard. "Month day year, " on the other hand, has huge use. It's the conventions that cause the potential for ambiguity and confusion.
Entire countries, like China, Japan, Korea, etc., use YYYY-MM-DD as their date standard already.
My point was that once you adjust, it actually isn't painful to use as it first appears it could be, and has great advantages. I didn't say there wasn't an adjustment hurdle that many people would bawk at.
https://en.m.wikipedia.org/wiki/List_of_date_formats_by_country