the bbc style guide agrees with me ....
dates
Put the date before the month, without suffix (eg: 12 April). There is no added comma for the year (eg: 12 April 2003), but there should be one if the day of the week is included (eg: Saturday, 12 April).
https://www.bbc.co.uk/newsstyleguide/d/
the above is how I've heard news people on the bbc say it.
I'm pretty sure I've heard UK politicians say it that way too.
There are several things going on here. Firstly you're right that
DD MONTH is a fairly common way of writing the date, e.g 15 April, 2 February etc
But that's
writing it, not
saying it. When people
say dates the first few numbers in particular are not often said as a cardinal number, but as an ordinal.
So while you often hear people say both "Fifteen February" and "Fifteenth February", you rarely hear anyone say "One February" or "Two February" or "Three February" because for those numbers the ordinals come much easier to the mind and tongue: "First February", "Second February" etc up to at least Fifth and Sixth, often further.
Once you get to the higher numbers then the cardinal is sometimes used instead of the ordinal.
I'm not gonna say that no one ever says "Two February" because someone's bound to, but it's not at all common in speech, but is more so in writing.