you miss completely the argument...
It is not about measurement here... He explained why it is very difficult to measure this without very serious research... You dismissed it without even getting the main point BECAUSE IT SUIT YOU..😊
It is about measurement. This is from the summary right at the start:
"SUMMARY. In the discussion about the perceived quality of sound systems the temporal aspect is often neglected or its importance underestimated. In this paper we propose a semi-quantitative property of systems to compare these, taking the temporal behaviour into account. We have tried to find a simple, easily to find and to interpret parameter which by no means will be the final answer to the problems encountered in audio, but can help to improve the comparison of systems in a more objective way and could help to direct future developments."
It can't more clear that he is proposing an objective, measured parameter. Yet, neither he, nor you apply this to any system to measure it. Why advocate an objective measurement when you can't or haven't computed it?
The main point is here :
What you quoted is not in this paper. Please stay on this paper instead of jumping to other ones. It is a difficult enough discussion to have without doing that.
Then your pretense to predict sound quality with your narrow set of measures is preposterous...
The paper introduces a dead simple measurement of its own, which is simply met with wide bandwidth. It completely excludes distortions and noise, two of the most important impairments in audio. Once again from the paper:
"Disregarding non-linear distortions, the frequency response between 20 Hz and 20 kHz of a system is very often taken as a major parameter determining the quality of a sound reproduction system."
A simple impulse response is not going to tell you anything remotely akin to fidelity of the system. This measurement has been known for decades and decades yet it is not at all applied in this application. You want to call a a measurement "narrow" and preposterous, there is no better example than what is in the paper you reference.'
It can be concluded that frequencies
above the hearing limit can indeed generate signals that are below the
hearing limit which could thus influence the perceived sound and the
quality experienced.»
Nothing as such can be concluded unless listening test results are shown to prove it. Tests of high resolution music which by definition has higher bandwidth and less ringing in audio domain, have failed to provide clear audible evidence. If doubling or quadrupling the system bandwidth and hence reduction in decay time can't be shown to have value, what he is saying is in dire need of proofs, not pleadings.
All this demonstrate the complete futility to PREDICT sound quality by measuring with Fourier linear tool some aspects of the gear piece ...
There is no such statement or position in the paper. Per above, audio system non-linearities and noise are put aside and an argument is made for a single, trivial measurement that he hasn't perform to prove anything.
We must listen...
Which neither you, nor the author have done. Given that, the paper should be dismissed then, right?