I'd love to see cable manufacturers actually provide cable measurements to back up their claims.
Something like these, but you know, with differences:
..or is it not possible for some reason?
Well to be fair, cables can make a difference with headphones with low, inconsistent impedance through the audible frequency range such as low impedance IEMs with multiple drivers. But how they will affect the sound is based on the ouput impedance of your source, and the particular impedances of your headphones, and is not possible to generalize. In this case, how it alters the sound is based on the resistance of the cable and not its price or overall quality.