Re. “…there can be an appreciable difference between high-end and mid-fi gear”…
Yes—but, by large margin, that “appreciable difference” is often just $$$$. And that’s not a very compelling distinction.
The assigned job of the power amplifier is to accurately amplify the signal, not to reshape it in some pre-contrived way that renders sound more euphonic. This latter function is best relegated to the loudspeaker system.
Any departure from accurate reproduction of the incoming signal represents amplifier error. And amplifier error represents unintended distortion of the incoming signal. It doesn’t matter if the distortion encompasses frequency response, or extraneous harmonics, or waveform shape, or added noise—it’s an inaccurate portrayal of the incoming signal. I personally subscribe to the school that says accuracy improves when any form of distortion is minimized, and many solid-state power amplifiers meet that criteria quite well today. Differences are often more a matter of power output capability, load impedance sensitivity, and reliability, and you need to get in deeper than mere listening to evaluate the value impact.