Buddy, I have done graduate work as a logician. That isn't within the realm of logic - it's not a statement of fact that can be deduced in the first place. What it is is convention. Now admittedly, it's a reasonable convention, but it still doesn't have truth value.

I'll also note that the argument of analogy with numerals that you used is actually a point in favour of the ISO standard (year-month-day) and not the standard you called correct (day-month-year). The argument for month-day-year, however, is that it matches how people speak about dates (at least in English) - If people are saying a date out loud it's more often "January the fourth, 2022" than it is "The fourth of January, 2022".

Either way, whatever arguments exist for one or the other, changing conventions is hard. There's a reason we still use a convention for electricity that has it traveling in the opposite direction of the electron-flow. It's a bad convention and pretty much everyone agrees with that, but the cost of changing is greater than the benefits from doing so. So, we're stuck with it for the foreseeable future. This is similar - neither region is going to budge. Hell, the US hasn't even adopted the metric system, and that's a significantly more useful change of convention than this would be (plus there's significantly more worldwide unanimity on it).