I think I know where the confusion lies. Passing in a square wave as opposed to a sine wave is not in itself worse. The difference is that if they have the same peak voltage then the square wave would have a higher average. If they are the same power then that would have already have been taken account of and the square wave would have a smaller peak.
However your ears dont work like that so if you were listening to something that was clipped you would tend to have it turned up just as loud and so more power would be going through the speakers.



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