They can try to explain all they want but unless they have come up with cold fusion, it's all BS. This wasn't in the April issue of the mag was it?
Typically SPL vehicles in the more ridiculous categories have a combination of multiple alternators and a very large number of batteries.
You can't just "step up" even AC voltage and suddenly make power from nothing. Say that you did only need 10A @ 120V to power an amp and you had a source of 12V AC. If you hook a 10x transformer to the 12VAC source and try to pull 10A from the 120VAC side of the transformer, you had better be able to provide over 100A of current on the input side. Because nothing is 100% efficient, you will have to put in more power than you get out.
Basically all the power supply of a car amplifier is is an oscillator to turn the DC input into pulsating DC and an inductor/transformer to step up the voltage and a rectifier bridge to convert it back to DC. Again, there are losses within this process because of resistance, so the power in is greater than the power out and rest is lost as heat.