Hi everyone,
Sorry to butt in like this. Here is something that I found helpful in understanding how the Energizer might work.
Consider an ideal inductance L henry connected across an ac voltage source. If the current in the circuit is given by i(t) = I*sin(wt), the voltage across the inductor will be
v(t) = L di/dt
= L*I*w*cos(wt)
where w (omega) = 2*pi*f, with f being the system frequency (50 or 60Hz).
v(t) and i(t) can be used to compute the power in the circuit and the energy in the circuit, as functions of time. This will lead to the following (from Electric Circuits by Joseph A Edminster):

The plot of power (on the left) is symmetrical about the horizontal axis. Its frequency is two times that of the system frequency. The power is simply the product of v(t) and i(t).
The plot of energy (on the right) is obtained by integrating the instantaneous power over a certain time interval. The minimum value that the energy function can take is zero.
So, during the positive-half of the power cycle, energy is transferred by the source to the inductor and stored in its magnetic field. During the negative-half of the power cycle, the energy stored in the inductor is transferred back to the source.
When the inductor is returning energy to the source I suppose that the amplifier connected to the same source could make use of that energy. (I not exactly sure by what "using the energy means")
But what if the music calls for more energy when the inductor is actually absorbing it? Under AC conditions, there is no reservoir of energy from to call upon.
I would like to emphasize that my post is no way being combative or dismissive of the product. Just trying to understand.
Regards,
Ashok