Not everyone needs accurate sound. Accuracy can be confirmed with good measurements. It’s possible to enjoy an inaccurate sound.
I don't think we should get hung up on this accuracy argument. Simply because it doesn't have a reference. The moment we record a 3D sound field using less than a certain number of mics, accuracy of the captured sound field is thrown out of the window. So for a recording of a live event, we are hearing everything from the perspective of a few recording mics. Also accuracy means different things to different people simply because of the hearing system that has differences between different people and the different audio reproduction chains. For some people accuracy is relative position and placement of instruments in the reproduced sound field. For some, it is just the feeling of musical instruments sounding like in a live event/how they perceive a certain instrument(s) and vocals should sound like. For some others, it is a combination of above and other things.
What the klippel NFS does while measuring speakers is it tries to estimate the anechoic response of the speaker and its characteristics in reproducing a sound field. It does this through a sound field separation technique. Even klippel say that variations of the order of 1.5dB is expected with the measurement system. There goes one arguement about accuracy given that humans can hear variations as low as 0.2 dB under right conditions. Ideally one would want a speaker to just reproduce the sound field captured in the signal that is fed to it. That is just my opinion. It speaks nothing about the preferences of other people. Let us say we have two speakers both having flat ON axis frequency response and smooth power response and directicity. Let us say both have coincident, coaxial drivers, exceptionally good transient response, and very low distortion. which one do we call as the more accurate speaker.
Some people prefer narrow directivity. Some people prefer wider directivity. What slope of the directivity plot or power response do we call as "accurate"?
There are only guidelines like if a speaker measures like this, it may sound like this. What we chose ultimately is what we like. I prefer good measuring equipment. Simply because i like tweaking it and tuning it to play according to my preferences. Some others prefer what sounds good to their ears right from the start without worrying about the measurement part.
Even if we argue that tonally "uncoloured" sound is the accurate one, it will vary with your position in the listening space depending upon the power response and directivity.
I support and respect Amir and Erin and other like them who try to educate others about all these different aspects for free. It is not necessary that everyone should have the same opinion. Measurements have a purpose. It shows the technical capabilities of a system. It doesn't tell with 100% confidence that this is how it will sound. It is upto us what we eventually choose to buy to hear music and there is no right or wrong in it.