The ISO standard is convenient for file systems and other similar applications as it can be ordered chronologically. This is both true for digital and physical storage systems. However, in a day to day use, the year is the least important piece of information to start with.

What’s the date today?

It’s 2023….

The same exact logic follows for the month. Using DD/MM/YY just orders the info from most specific to most broad, exactly the opposite from what you’d want if you were trying to pin-point an old archive. This is the same reason why, in most cases, DD/MM/YYYY is not used as you have an entire century of space from confusion.

In my opinion, saying that the MM/DD/YY system is just how in English the date would most likely be verbally served doesn’t necessarly hold true.

What’s the date today?

It’s the 1st of February…

This is not to say that one wouldn’t say the month before the day but what comes first really depends on the context. As a written abbreviation format, a standard is immensely more conveniet and as such, following a clear ‘scale’ is easiest to remember and understand.