I can't talk about power cables; for interconnects there is a relatively straightforward example. Background first:
"Under typical conditions, an audio signal traveling via alternating current suffers its existence in an environment of shifting magnetic and electrical forces that alter the original signal coming off a component’s output. When current flows through an insulated wire, it does not pass through the insulation, but it does interact with it. The alternating current polarizes the particles of the atoms of the insulating material (the cable’s dielectric), which causes them to shift position according to the frequency and polarity of the signal at hand. As long as the AC polarity holds, the dielectric acts like a capacitor, maintaining a charged electric field. In a sense, the dielectric retains energy as a memory of the audio signal at the point when it was polarized. As time passes, the polarity of the current alternates, taking with it the polarity of the dielectric. This "dielectric relaxation" releases the remembered energy, which induces tiny new currents within the conductor, currents that are not indigenous to the signal presently on the wire. If it’s not part of the original audio signal, it’s distortion." (from my review,
here.)
So an interconnect suffering from this phenomena
may present signal timing issues. How may that be perceived? It may be perceived as what I'll call a 'smeared' signal, as, in a way of speaking, signal energy from the past may arrive too late. The percept may be a blurring or fuzziness in sound, or a shortening of decay. There are a couple manufacturers who have a means to mitigate or prevent this. And for others, choice of dielectric material (with different dielectric constants) may have an influence. Call it what you like, resolution or clarity, this smearing or its absence is greater or lesser between different interconnects.