I’m sorry but it doesn’t make sense to me. Regardless of the month, I think what matters first is to know what day of the month you are in, if at the beginning, in the middle or at the end of said month. After you know that, you can find out the month to know where you are in the year.
What is the benefit of doing it the other way around?
When you are searching for a file in a filing cabinet of a finance department, it’d be a nightmare if records were filed by month first and year after.
It sure would, which is why nobody does that. Just because the month is written first doesn’t mean you sort by month first.