What I object to is solemnification of two pieces of music which have nothing to do with solemnity, warfare, militarism, nationalism or whatever.
The trio section from Holst's "Jupiter" represents, perhaps, a happy, elderly man, sitting in a pub inglenook enjoying a pint of ale - not the dirge-like religiosity of vowing to "thee my country" (It was even more mangled for the bloody rugby world cup.)
Elgar's "Nimrod" is an expression of friendship. It was written, as a part of his Enigma Variations, as a tribute to his publisher and closest musical friend, August Jaeger. Its title is a piece of linguistic fun - "a mighty hunter". (Although Jaeger died in 1909 his family stayed in England and changed their name to Hunter.) It gets played so slowly that it is almost falling apart by military bands at the Cenotaph.