dgbiker1, your understanding of waveforms is flawed so I don't know if I can take your argument seriously.
a 20Khz square wave has tons of harmonics of the 20Khz fundamental. A perfect square wave is thus of course impossible to capture perfectly digitally at all. any harmonics above 20Khz won't be heard by the human ear, but all the harmonics below 20Khz will. so all recordings have less than 20Khz including harmonics. even if an analog recording of a perfect square wave on vinyl existed (i dont know exactly how vinyl works), because our hearing only goes up to 20Khz, that square wave sampled at 44.1Khz will sound exactly the same. I don't believe there are any actual waveforms (not theoretical) that can't be produced without sine waves. My understanding that the nyquist rate will infact reproduce anything perfectly has not been tainted by your argument.
From my understanding, the only reason there exist sampling rates above 44.1Khz is because of the heavy processing done on those signals in mixing, mastering, and the like to avoid artifacts/aliasing/etc, none of which happen when we actually listen to it.
p.s. the audio critic says burn in is real...