Well, based on my understanding from Atmasphere and others, that’s how SETs work. It has nothing to do with semantics.
So that piano you hear is either a result of the amp working optimally and having very low distortion or if it is being stressed at all (not hard to imagine) the introduction of some pleasant sounding second order harmonic distortion.
Also the thing is its impossible for all recordings to sound like any single live piano listening session because each recording is produced differently. Also each live listening session changes based on listening location, close or far for example from the piano.
So if all piano recordings are sounding more like that piano, there is at least a decent chance that is a result of the sound of the system playing the recording, not the recording itself.
In the end it doesn’t matter. All gear does its thing a particular way and different people will take to different sounds for whatever reasons they choose. Its all good in the end.
Another test might be to listen to electronic synthesized piano or other synthesized keyboards that are not necessarily as rich in harmonics as a string instrument like a piano in particular. If I get those extra harmonics that don’t belong there not to mention clipping (even soft clipping) to-boot, that’s a very bad thing for me because the music will sound notning like the real thing done well live. How many electronic music lovers levitate to SETs as opposed to those into mostly Jazz or Classical?
Maybe with a pair of good Class D powered subs though. Then you can probably have the best of both worlds, Class D for the best bass and SET for mids and high frequencies.