IMHO, the best speaker designs would have flat frequency response, if, and only if, the recordings we buy were any way near flat.
Plus what you say about intermodulation from amplitude or Doppler distortion.
The common man won't effortlessly get what he cannot accept. I gave up.
Recording is an artform in itself with so many decisions taken in every aspect, of whom each would make it 'sound' completely differnt. Which is the purpose of the decision making. Who's the judge on good sound? The sound engineers and mixers and producers and maybe the musicians or even the composer. What's the reference? The monitors in the studio, actually. Is the esthetic judgement standardized? No. Is the monitor standardized? No. So, where is my 'original' that was promised to me by the industry? Better don't ask but rather expect there's an essence taht is revealed by high tier stereo.
Doppler's distortion, or IM in general is a multidimensional measurement not covered by advertizing and so called digital/paper test magazines. It asks for re-evaluation of some technologies in general and shockingly doesn't provide an easy ranking of products. Better don't touch.
After these two topics were dismissed as irrelevant we are still left asking what criteria to optmize for 'detail retrieval'. My final question was, what kind of a detail is retrieved by whom in the signal chain. Is it the tech, or is it the listener's imagination? Where does the damand come from, missing what exactly? Is the expectation legit? (HiFi kitsh often adds pseudo detail, like screeching guitar strings, breathing noises and what have you.)