[sfeng]

To play devil's advocate, the American format aligns with how (American's at least) speak the date "March 24th, 2022".

[Ukv]

"4th [of] July, 2023" and "July [the] 4th, 2023" are both valid - I'd bet there's a correlation between spoken order and written order, but not sure which caused which (or maybe mutually reinforcing).

[pclmulqdq]

"4 July 2023" is a common written format, but you would never say it out loud.

[Ukv]

I don't hear people say "July 4" either, but you do hear both with the ordinals as in the examples I gave.

[pclmulqdq]

Oh, I hear "July 4" pretty commonly. Perhaps more than "July 4th," actually. It might be a regional thing.