I disagree with your initial premise. First, we have to set a reference. You have falsely set analytical precision and accuracy based on measurements as the reference, but that is not how music sounds. When I listen with my Benchmark DAC and Benchmark Amp, it does not sound like real, live, unamplified music from instruments or human voice. I don't know why, but based on my hearing, that is not the reference sound. It is for me not an accurate representation. The same is true for low-cost tube gear with some speakers - too soft - not like real instruments.
Second, I once thought warm meant distortion - it does not. Warm is too general a term. IMO, a system can be warm and lack details, or be warm and have details. Distortion can lead to a warm sound or soft sound but lack details. I have come to realize that a system can be accurate, precise and warm (not bright). Great systems have details and sound warm and inviting, great soundstage from the included details, but warm, relaxed, just like live instruments.

