If they measure the same then they sound the same. If they sound different then something is wrong with the measurement.
I think someone famous said that.
There is a VERY serious problem with that............ there is truth in the statement, but it must be read correctly.
"Engineers" have been saying it, or similar things, about various things forever, it seems..... They used to say that about older tube units and newer SS units back 30 years or so.... The SS units measured WAY lower in THD, and so they HAD TO be far better sounding.
But people (DBT or no DBT) persisted in saying they heard differences in the SS units that they did NOT like.
Naturally the "engineers" and others with an uncritical acceptance of testing insisted that this was basically a sort of "acoustic nostalgia", "listening with the eyes", etc. It was emphatically stated that there was NO WAY the SS was "worse", that THD, IM, noise floor, every test that could be run came up with the SS "miles ahead".... (questionable, but whatever)
Still the listeners reported a difference in "clarity", etc, etc....
Then someone discovered what came to be called "transient intermodulation"......... And suddenly it was discovered that the SS units had bursts of very high distortion that were completely absent from the tube units. Apparently a lot of "engineers" had to "eat crow", but I don't know that they ever really said "we wuz wrong"..... despite having defiantly insisted that the listeners were loopy.
The moral of the story is that the part about "If they sound different then something is wrong with the measurement." is quite true....... BECAUSE YOU HAVE TO BE MEASURING SOMETHING THAT IS RELEVANT, IN A RELEVANT WAY.
The problem with tests is that uncritically believing them as-is will get you in trouble if you do not completely account for the possibility that you have totally missed the point as to what may be causing the differences.......... You need to remember that you are attempting to "prove NON-existence"...... which is very much harder than proving "existence".
You need to be able to comprehend re-arranging the words of the statement........... which subtly changes the meaning.......
"If they sound different then something is wrong with the measurement."
becomes........
"If they sound different then something is (measured) with the wrong measurement."