Hmmm... While nobody can accuse me of being anti-measurement, I tend to use the specs to get in the ballpark, then listen to the equipment. The specs rarely tell all about how it will sound in my system and room. However, if I wanted to perform more detailed measurements at home, as I have in the past both at places I worked and at home, I could, and chances are (almost certainly) I could find (and have found) differences in the appropriate measurements to explain why amp A and amp B sound different to me. I have most often found measurement data shows finer differences than we (or at least I and any folk I have ever worked with) can hear. That is, the resolving power of our test gear exceeds that of our ears.
Whether or not the right ("appropriate") measurements are made, in the right environment, is a whole 'nuther story. As I have said before, sometimes the ears guide us to new measurements, or at least different ones. And, I have used equipment that most audiophiles do not have access to, let alone understand how to use.
Still, there have been plenty of times when a listener has said repeatedly he (she, it, whatever) can hear something that has not been supported in a DBT. Typically, when I have been involved with DBT (AB or ABX), there's a long "acclimatization" process where the listeners hear everything in the open and note differences, perceptions, things they hear that are differences, etc. The DBT then confirms they can hear those (or not) without visual cues. I have used fast switching, slow switching, spread the tests over different days and times, you name it as people tried to determine whether they could really hear a difference or not. Sometimes the answer was yes, sometimes no. Some accepted the results (either way) more gracefully than others...
I think a lot of folk confuse "specifications" with "measurements". - Don