Can your system be optimized to sound better for classical or non-classical?

I listen mainly to classical music.  And I think that I’ve optimized  my system to sound best with classical, especially orchestral music.  Ideally, a system, if it  accurately portrays the tonal spectrum, should sound great in any genre.  But I’ve noticed that systems that I’ve listened to in homes that play mostly non-classical, classical doesn’t sound so   And, conversely, pop, rock and the like,  while it does sound great on my  set doesn’t equal the subtlety that I hear in other settings. I’ve never heard a system  that does full justice to both types of music.
I’d like others’ opinions on this topic.