While it is true that the initial arrival wavefront is dominant in sound localization, that is primarily due to group-delay/phase based inter-aural processing (difference in what reaches each ear), not in the exact shape of that wavefront. We also give dominance to processing of the initial wavefront and reject echoes and reflections, to a degree, for transient sounds, which gives credence to the importance of transient response. The brain tends to lump the first 35msec of the transient together, so transient has to be put in perspective.
However, to say this is "principally" how we hear, is just not at all supportable. It is not even supportable for localization which includes level cues, frequency cues, etc. which in music can be as important as timing cues. It is just a part of our auditory system for processing threats. Evolutionary changes to support speech and better interpret threats greatly extend what it means to "hear".
teo_audio1,228 posts11-14-2019 8:58amAnd then added in again, on top of that..is,...that humans hear principally via that transient and all complex transient systems...and we define our hearing limits in the small tiny area of perfection of delivery/shaping/levels/timing of those complex transient loads.