Also, it is interesting that people will argue about audible differences between cables, where there is pretty much no differences to measure, and at the same time have no issue with nonlinear phase, where the temporal distortion is easy to illustrate. Audibility is of course up for discussion, but it would be easier to argue for audibility of phase than of cables.
Well, my policy on cables remains, if a cable makes an audible difference compared to another cable, at least of them is bad.
As to temporal distortion audibility is an interesting problem, because, in fact, most (but not all) physical processes are minimum phase, which has phase shift, but which tends to create slowly changing temporal distortion across frequency. You don't get pre-echo, you don't get weirdness from allpass filters, and the like. (Note, USUALLY.) Digital processes can do many things a native acoustic process can (literally) not do (maximum phase filtering, for instance, a sound that often weirds people right out, all still remaining in the domain of strictly linear processes.
But again, until you look at how things like onset and envelope change inside ERB's and across adjacent ERB's, the question is very, very difficult to even start to examine, especially in the lack of substantial results on measuring co-articulation.