Andy2 and all -
I say that neither Jim nor Thiel Audio would espouse valuing ’"time coherence above other aspects of sound reproduction". Our company was built around addressing and honoring ALL aspects of sonic/signal/musical reproduction as a whole. Most designers - products minimize the importance of the time-phase aspects of fidelity, especially in the day that we did it. Only a handful of brands made time/phase behavior important - including Thiel, Vandersteen and Dunlavy and Quad, and possibly some smaller attempts.
Note our attention to time-phase was not above other aspects, but as one among several necessary ingredients for faithful representation of the musical signal.
Having paid attention to this stuff for half a century, my perspective is that keeping time-phase correct allows the ear-brain to pay attention to the playback signal as though it were real - thereby permitting a more holistic, immersive experience of the music. Although we rarely admit it, we humans do not possess unlimited brain-power. Work is required to reconstruct a musical signal that is missing its time domain content into an interpretation that makes sense. That effort subtracts from the state of consciousness that is possible when experiencing real music, either in its un-recorded state or its time-phase correct played back state.
Among the most frequent comments re Thiel/Van/Dun/Quad, etc. are ’naturalness’ and ’image density’. These are psychoacoustic attributes facilitated by the addition of phase-time correctness to the other realms of dynamic and tonal correctness.
I assess that designing for all of the musical aspects rather than discounting or fudging against the time-phase aspect requires an order of magnitude more effort. Everything becomes extremely more complex and difficult.
I can only afford a summary overview, the details took a career to address, and the work is still not finished.