I'd much rather have D/M/Y, since then data is ordered by relevance. If I'm seeing a full date, I probably care more about the day than the month, and more about the month than the year. This is just pure bikeshedding tho, both are infinitely better than M/D/Y
Relevance changes by which time scale you're looking at. If you're looking at the last month, the day is most important. If you're looking at last year, month is probably most important. And for anything beyond a year, year is obviously most important.
I agree with you. Year is least likely to change, then month, so you can pay attention to D, and scan M/Y which I feel takes less attention than other formats