It’s ambiguous as to if the day or month is first.
Not if everyone is using it, as they should.
Besides, so is is yours. 2024.06.07 could be the 7th of June or (if you’re an American and thus used to the months and days being in an illogical order) 6th of July.
As for writing out the month names, that’s no longer shorthand. That’s just taking more time and space than necessary.