Loudness curves - Yes, this makes it important to listen to a speaker at your normal listening volumes, or get one that is flat and use a loudness compensation like Yamaha has or Dennon used to. A speaker tuned for 65 dB listening is going to have more bass and more treble than one designed for 90 dB. Some of the Dynaudio speakers are great examples of this.
Imaging - Wilson, among others, has taken advantage of using a dip at 2.4kHz or so which gives a perception of enhanced imaging, at the loss of some information. Not all wilsons, this seems to have fallen out of favor recently.
Detail - By using a ragged frequency response some speakers can appear to enhanced detail. B&W 802D and GE Triton 5 have done this, and bowled JA over. I can’t stand them, but I am not buying your speakers.
The GE Triton 1 offered a nasty sounding AMT with a very exaggerated upper octave. To me that was painful, but apparently older listeners love them.
My last point is, your hearing is unique and changes over time, so regardless of a technical ideal, or a particular reviewer's take, you need to buy speakers that are ideal for you. If you know you have hearing deficiencies in certain frequencies, maybe that is something you should look for when buying, speakers which naturally have more in that area. Nothing wrong with that. :)