That's not a difference. That's blatant misuse of the iThing and the LCD's. If the amplifier does not deliver the minimum power required by the driver then the sounds the driver makes will be distorted. Like plugging those LCD's into the iThing. Once the amplifier can supply this minimum power then any additional power really is just more volume. This goes to the upper limit of the driver's design at which point more power turns into distortion.
Go over to Youtube, look for the "Audio Myths Workshop", and watch and listen. It's about an hour long. My favorite is the $800 jar of colored rocks.
Edit: I aplogize. The rocks are "only" $130. It's the dodgy alligator clips that are $800. Still. A hunnert and thirty bucks for a jar of rocks. And people buy these things and insist that they work.
Edited by ratinox - 2/26/14 at 5:23pm