But don't forget to also check out the tests here on ASR made on good speakers.

If you want speakers that reproduce the recorded material without altering it, or coloring it as we sometimes say, you can say that this is the most important thing in descending order is:
1. Smooth frequency response (many people find a little slope to be nice). That on-axis frequency response (the speaker is pointed towards you) and off-axis that follow each other.
2. Dispersion of the sound. In many ways a matter of taste.
3. Distortion and noise. When that becomes audible and annoying is individual. There are quite a few threads about this on ASR.
This is usually referred to as a starting point, if we talk about a good smooth FR:
View attachment 438917
There are some threads about that curve here on ASR. Here's one:
I typically see the Harman target curve represented as a thin line on an amplitude vs. freq chart, as if the goal were to achieve that target precisely. But looking at a review article written by Toole entitled "The Measurement and Calibration of Sound Reproducing Systems" (JAES...
audiosciencereview.com
Anyone can test that a bumpy frequency curve sounds weird. Just pick up a free EQ app and turn the controls up and down. A big frequency roller coaster (especially in the long run) is usually not liked by most people.