I see "classical" as having several subset requirements as to venue size/location requirements/listening perspective..eg. Opera, Symphony, String Quartets, solo instruments, etc...
Also, see "jazz" as having several subset requirements.....eg. female jazz vocal needs in eg. a club and the typical audience perspective being quite different in their needs eg. instrumentals as evidenced typically with 'trane, Miles, Clark Terry, Buddy Rich, Ellington, Basie etc..
It takes differing 'phones and anciliary equipment to more-correctly reproduce the experience within each "genre". The same is also true when choosing speaker setups. Once upon a time I clearly heard heard the impact of these choices when comparing a much "larger" alternative speaker setup to my Vandersteen setup (clearly superior for typical jazz combos vs. large format classical.......but, unable to keep my Vandersteen setup, and still get the other speaker setup........no room in my space for both.
had to return the other speakers/amp etc.. Would have luved having both.
Today, with the advances of headphone equipment it is much easier - but, still not equal to those speaker setups, alas.
At that time the Vandersteen setup actually could fool you into thinking a Segovia recording to be a live performance. A truly rare occasion - and an obvious delight.