Your concept is correct but you have to measure everything that matters and some things like frequency response and distortion are only part of the story. And these examples are essentially static measurements and music is dynamic not static. so even if you use only some measures, not all, at least use dynamic measurements like dynamic linearity which while not the entire story by far does correlate subjectively well to fidelity to the input
What are we objectivists missing?
I have been following (with much amusement) various threads about cables and tweaks where some claim "game changing improvements" and other claim "no difference". My take is that if you can hear a difference, there must be some difference. If a device or cable or whatever measures exactly the same it should sound exactly the same. So what are your opinions on what those differences might be and what are we NOT measuring that would define those differences?