I don't wish to stir, only to be a pedant! disclosure: I work for a national metrology lab, and we worry about stuff like this a lot. Logically, if you can hear it, you *should* be able to measure it. Fundamentally, measurement differences have to be consistent and repeatable by independent testers for the data to be valid and true. Measurement involves the use of both hardware devices and physcho-acoustics.
If we cannot measure any differences, then there are two possibilities: it's not "real" (though we can try to measure physcho-acoustics - you would be very surprised who our clients have been over the years, but it's typically a much higher uncertainty compared to lab physical measurements), or that the measurement device is not sensitive enough. In my experience, it's never been a sufficiently critical social problem that ever warranted much research beyond the phsychological elements, and again in my experience, the latter are massively unreliable compared to hardware. As a bit of context, whether you coil your analogue cables or keep them straight are testing the EM limits of detection of commercial labs. Now pad rolling....
Happy listening!