Your brain measures the phase difference of the same signal reaching both ears. Errors in phase of a sound primarily from one speaker will not affect the measurements. Errors in phase from a sound from both speakers only matters if the phase shift is significantly different between the speakers, I.e. mfg variation.
And yes it is a red herring that keeps being raised by people who don’t understand how how digitization and analog reconstruction works and the math behind it.
And yes it is a red herring that keeps being raised by people who don’t understand how how digitization and analog reconstruction works and the math behind it.