The only thing that this can address is power factor and demand as would have been alluded to by the reference to spikes.
Is power factor a real issue with a home? I have never seen any studies or concerns as to it being an issue.
Current spikes? I would imagine that there are quite a few. But what percentage of the overall power used do spikes represent? I would conclude that it would be insignificant at best.
And demand certainly isn't an issue with residential power like it would be in an industrial complete where you are kicked up a notch if your power demand exceeds a given level.
So one must conclude that this is a more modern version of a snake oil salesman.