The idea that a speaker plays jazz and rock well, but not classical is crazy. The requirements for a loudspeaker for all music is the same: "play it as accurately as possible with as little damage as possible for the money".
I don’t fully agree, because what we want from each are different emotions. I have very (objectively) neutral speakers, which I feel are a little light in the bass for R&R, but perfect for Jazz, Choral, Orchestral and movies (latter with a sub). Listening to R&R, I may turn up the bass. :) Also, at low volumes, they lack detail, so loudness helps. Some speakers may be heavier in the bass, or more U shaped responses making them more suitable.
Still, to the OP’s point, actually that sounds more like electronics. As another mentioned, do think about room treatment. Contact GIK Acoustics for advice and high value products.
Best,
E