Of course you also need to know the month, but similar to the year i would argue that there are plenty of times where the month is evident from context. So the informational value is lower than the day.
I don’t want to argue that this is an absolute thing, but i’d say that quantitatively there are more times where you only need the day compared to very few times where you only need the month for example.
If you have an appointment you’ll need to know the month, so putting month first makes more sense.
Of course you also need to know the month, but similar to the year i would argue that there are plenty of times where the month is evident from context. So the informational value is lower than the day.
I don’t want to argue that this is an absolute thing, but i’d say that quantitatively there are more times where you only need the day compared to very few times where you only need the month for example.