Time coherence has zero relevancy to whether cable changes are heard. To suggest otherwise is a categorical mistake.
Changes will be heard, but since the speakers are incoherent, one cannot assess anything but their affect as tone controls.
In your review, you don't mention phase or resonance, yet every measurement extant of the Voxativ drivers show impedance discontinuities due to cone resonances. They may sound
alive, but they are certainly not accurate.