It has nothing to do with PF correction.
The approach you describe is not the approach here.
You are talking about phases of the AC line. That is not what ADD-Powr is doing.
Also, It's nothing to do with the peaks necessarily, but rather inducing an actual periodic pattern of very low voltage oscillating "bumps" on the line. It is kind of similar to how an old LED digital clock (very low frequency square wave perhaps) might affect the AC line.
Again, this is not about addressing power line issues per se.
It is an approach using a specific low frequency waveform signal type and resonating vis-a-vis its harmonic series, other signals whether the means is through the power supply or by a coil antennae. The essence is getting a harmonic series to resonate with like frequencies,