Analytic does not necessarily equal flat response. You could have something ruler flat that has so little detail you couldn't pull a gunshot out during a flute solo it's so messy. On the other hand, a lot of very "analytic" headphones/speakers simply have monster treble making the high end details stand out because they're boosted so heavily. That's not to say you can't have both, but they are not one in the same thing.
Regardless of how it comes out, detailed, muddy, flat, v shaped, etc. everyone I know has some differences in their musical and tonal preferences. My musical tastes push me towards something that is pretty far from analytic because I don't want to hear the mastering and recording impurities that they did not put the effort in to avoid because most people don't or didn't care about that much detail. My tonal preferences say I like a somewhat W shaped response out of my phones and speakers (my screwy junk bin crossover in one of my speakers kinda gives this response naturally).
No matter how you look at it, whether you want to admit it or not, audio is a very subjective thing, and as a result, nothing you do will be a universal solution to this quest for nirvana and perfect reproduction.