If you've ever done recording, you'll notice how each mic sounds different. Even the same mic will differ if you move it around.
Most of us latch onto a area of the frequency spectrum that we value above all others. For me, it's the upper mids, where soprano and trumpets reside. I play trumpet and love female singers. I'll notice an inaccuracy in that range immeditately. OTOH, I've lived for decades without true bass extension. I love good bass, but until recently I didn't care enough to pay for it. Also, many of the speakers that had the bass I liked sacrificed the mids that I value more. (The Vienna Acoustic Beethovan Baby Grands satisfy me totally, in my relatively small listening room).
Anyway, most people, including audiophiles, don't really like "accurate" speakers and will adjust their room to bring into balance the things that they prefer to hear, not to extend the "accurate" sound.
Dave