The Haas precedence effect is one of the guiding principle in applied acoustics at all scale for Hall acoustics and as in our smaller room...We must takes it into account to adress the reflections points roles...
I cannot add anything to your post with which i concur...
It is proven that human audition beat the Fourier uncertainty principle limit or the Gabor limit because Human hearing extract information working in his own non linear time domain... Then you are right... Timbre is way more than just a "color" or a taste but a mirror of the way ears/brain create music and extract objective information from the vibrating sound source.
https://phys.org/news/2013-02-human-fourier-uncertainty-principle.html
I also confirm that your idea about dac are mine too even if i had less experience with different dac design than you...
Absolutely agree about human hearing complexity. I am utterly convinced we hear sound as a complex interpreted amalgam of the different responses at both our ears analyzed over a short period of time. This is called the Haas effect - that the Haas effect exists is absolute proof we do NOT hear the transient instantaneous signal - we hear a processed result of some kind of analysis of approximately 40 milliseconds of sound - almost an eternity when you really think about it relative to a “transient”.
I believe the differences we hear in modulators and filters for digital upsampling are almost entirely due to the equiripple in the pass band that creates echos in the time domain. Engineers believe that a tiny ripple at 70 db below the noise floor isn’t audible but they are forgetting that this ripple is across the entire frequency domain and leads to a highly correlated pre and post echo not random noise. And our ears brain are super sophisticated at locating sound origin - ESPECIALLY if the echo is occurring across the entire frequency domain (which is the case with equiripple from digital processing) - the entire original source sound is echoed exactly at a low level and we hear it - it directly affects timbre and soundstage.