O'Tink, the marching is beautiful...and your point about the Red Square location is quite intriguing...and after your clip ended, this one below came up; apparently, from the notes, Chile began to emulate the Prussian militaristic tradition as early as 1886, still carried on today in 2016. The soldiers are so beautiful, so flawless, even the goose-stepping.
I recall in 1953, the school teacher had to stop playing John Philip Sousa marches in our class. One of the children would begin to cry, great distress. I am not sure what was going on, I was too young to comprehend. But this little girl's name was Edith Wilhelm, Germanic as I now recognize, and I just wonder what associations the magnificent marches brought up for her.
In the Richard J. Evans book on the rise of the Third Reich, I noted the very strong attachment to the kaiser and the militaristic tradition, where the military was essentially an independent entity, answering only to the Kaiser. And that tradition was extremely difficult to change in the wake of the WWI defeat.
The marching itself is exquisitely beautiful, but oh it does come with lots of baggage.