I've often heard of people talking about "prussian marches" or "british marches" in the context of a style of march. It seems that they could tell just by hearing a march as to what tradition it's from and what's the appropriate style of marching would be. Are there noticeable and identifiable distinctions between the marches of various nations and if yes, how can one tell?
This answer will be quite opinion based. But I am pretty sure that the prussian marches are influenced by the instrument setting:
They use rather trumpets, woodwind instruments,french horns, baritones and the result is a thinner sound, paired with simpler harmonies remaining in the main chords tonic, dominant, subdominant, with fanfares (trumpets), trillers (clarinets, flutes) and horn fifths.
Thats my impression and memories that I have from the few prussian marches we used to play in military service,
while in the british marches using cornets, tenor horns, euphoniums, rarely woodwind instrument the sound is rounder, softer, less military like, based on more interesting harmonies, in a less military way and sound.
Marches are not my favorite music, but there are a dozen Salvation Army marches of Eric Ball, Ray Steadman-Allen, Erik Leidzen, Dean Goffin, Eric Silfverberg, Donald Osgood, Leslie Condon, Wilfred Heaton etc. for which I would lay my hand in the fire that they are fantastic music, smart, intelligent, tuneful, while the German or also traditional Swiss marches (influenced by the prussian) are really simple, sorry, not to say primitive.
I forgot to mention the great countermelodies in the English marches and the genius Bass Solos!
As an example of a very special festival march I allow myself to post one of my favorites:
(please don‘t watch the conductor! I never dance around like him!)