This is likely the answer they are looking for, but is mostly false. HDMI is digital signaling, so there is no degradation - if the signal makes it over the cable, it is in it's original and unblemished form. The quality of the cable carrying the signal makes no difference in this case. Analog cables are a different story.
The only part of this statement that is true is that a higher quality product will, obviously, last longer than a lower quality one.