Imagine a man has been kicked in the head by a kangaroo on 2010_01_05 (big endian), and wakes up in a hospital bed with slight amnesia. Soon he realises he is supposed to be at a wedding on 2010_01_12(big endian), but he can't remember whose. IT COULD EVEN BE HIS!
The first thing Bob (for tis his name) does is grab a nurse, in a non sexual manner, and yell into her face "WHAT IS THE DATE, YOU FOOL?!?!?! I HAVE A WEDDING TO GET TO!"
Follows the two possible responses:
Nurse: "WHY! Calm down Mr Bob, the date is ... "
Bob:
*bob hankers on every syllable, awaiting the reveal*
Nurse: "JANUARY ... "
Bob:
*Phew, at least it's the right month, Bob thinks*
Nurse: "... 25th 2010"
Bob: NOOOOOOOOOOOOOOOOOOOOOOO! HOW DARE YOU tease me with the possibility that I could still attend the wedding, only to dash my hope upon the reveal of the [dd] portion of the current Gregorian calendar date!!!
*Bob flat lines*
Now, let's see what happens from the other perspective:
Nurse: "WHY! Calm down Mr Bob, the date is ... "
Bob:
*bob salivates in anticipation, the delivery of the date possessing the power to mend or shatter his very soul*
Nurse: "The 25th ... "
Bob:
*NO! Bob already calculates that it is not possible for him to be in time for the wedding, unless the Kangaroo was a time traveling Kangaroo*
Nurse: "... of January 2010"
Bob: Well, I must confess I am upset, but luckily due to the format in which you delivered the date, I was able to come to terms with missing my wedding, without being first teased with the possibility that I could still make it. Thank you for your compassion. You have a nice ass.
*Bob makes a full recovery*
So this demonstrates which format makes the most sense, and also explains why there are more heart attacks in the US than in any other western country.
Radical hamsters skipping furiously into the blue ether, questioning their very existence while breathing out the bitter fog of smoked haddock.