Army style is the recommended one from the med people as it gives the support to the foot but does not constrain the flexibility – interesting stuff I hear you say. Now the real cruncher will be if you get told off or not (in the Army I believe they shout) the Army style is a little scruffy and not symmetrical but the straight (European, bar or easy) is far more aesthetic to a drill pig.
For what it is worth, if you can use loop back lacing and still make the change parade, you might consider going for Typhoone – the added bonus to this is you can then use the Army style as all Typhone mates are scruffy – in the job spec you know.
Have fun and remember – not all military life is worth worrying about.