Oh that's right, the spoken administrative context. Same in my dd-mm-yyyy county actually. Still, I find it less intuitive than the logical yyyy-mm-dd when understanding written text.
We do that in Sweden as well. Our social security numbers are that plus 4 unique numbers. The beers I send out to stores have yyyy-mm-dd printed at the bottom.
Hasn't been a problem so far. I'm guessing maybe they will add numbers or use letters if it comes up. They recentled started doing that on license plates.