You wrote: "The main benefit to higher-than-44.1-kHz sampling rates in digital audio is to extend the Nyquist Frequency well outside the human hearing spectrum—so far out that there isn’t even a remote possibility of anomalies associated with the required anti-aliasing filters creeping into the audio band. While many might say that makes hi-res audio overkill, some astute listeners maintain they can hear a quality difference when higher sampling rates are used."
I think another part of the explanation is that these higher frequencies portions of the signal could interact - constructively and/or destructively - to result in additional audible signals.