Yes- I mentioned some prior, such as understanding the harmonic spectrum created by the amp. IMO that is more important than the THD.
@atmasphere , it would be interesting to detail this point: which are these important parameters that more realistically reflect the real performance of an amplifier, or are they still to be developed?
I am about to change my earlier point of view that engineering is a purely applied science. I share the concern by @invalid . I think that before we talk about the amplification, we need to understand how the music performance in question was recorded. That is to say, two things are to be distinguished and seen separately: Which kind of music we are talking about and how it was recorded (with a single microphone or each instrument separately etc.) , and then how the recorded music is reproduced by some amplifier. I think that the second issue should be discussed based on the analysis of the first one. So suppose for now that we have a "perfect" amplifier of your choice and see how its reproduction is affected by a particular kind of music and by how this music was recorded.
I suggest that an inherently loud music (e.g., rock) is easier and more natural to reproduce loudly than an inherently non-loud music (e.g., jazz). If we force the amp to play an inherently non-loud music loudly, you may unavoidably get some distortion, regardless of how the amp is built. By the way, among the two cassettes mentioned in my previous post, the first one was jazz and the second one was rock music (such an analysis would understandably make less sense for CDs, i.e., it should be an analog source).