Agreed, the so called presence (4-6kHz) and brilliance (6-8kHz) bands are the most important.
However, it’s the bass band that usually gives systems the most problems.
It’s also the bass band where most of the measurable distortion is to be found - and that goes for both loudspeakers and headphones.
Since sound is usually generated by the mechanical movement of a cone or diaphram, and bass requires more movement, structural and resonance issues tend to increase exponentially as you go lower in frequency in a similar way as when you go louder on volume.
The decision to not even bother to go down that low (flat sub 50hZ) is one that many designers decide to take in view of mounting technical and construction problems - heat, resonance, and deviation from a piston like cone movement etc.
Many audiophiles seem quite happy to accept this compromise, preferring to look for improvements elsewhere. On the other hand, quite a few are not.
Surely it’s no coincidence that as you go up in loudspeaker ranges offered by most manufacturers, dynamic range and bandwidth increases, not decreases.
https://www.teachmeaudio.com/mixing/techniques/audio-spectrum#presence