To me, at least theoretically, a low THD should represent a cleaner signal path. Of course, this is theoretical, but what that spec. means to me is that the amplifier is not introducing outright distortion into the line. Of course, having said that, what constitutes distortion needs some definition.
This may seem completely unrelated, but in my field, history, the same types of arguments are made over trying to define terminology, categorizing, measuring, etc. And the results are no less frustrating. So while I can't claim to understand the finer aspects of EE, I do understand the academic aspects of the debate and appreciate them, despite my somewhat simplistic approach.