Most humans talk about (month, date) tuples. US dates are big endian and written mm/dd. 12/25, 10/1, 2/28. They are elegant and compact and visually sort in the correct way eleven times out of twelve (11/12.)
Short UK dates are spoken as “Jan 9th” “8th of March” and written as such, or sometimes “Feb 9”. I find them very less pleasing.
Longer UK dates in Guardian format are prettier: 3 Jan 2022.
US dates inevitably have to be unambiguous about years. This is indeed unwieldy because a slashed triple — 3/4/22 — is used in the UK too. (The slashed pair is uncommon so it’s clear that 3/4 is an American date.)
Anything technical should indeed use ISO, but if you have an audience in a single locale it’s important to know your audience and localize (localise) accordingly.