I strongly suspect that the article is allegorical. That it's describing the resonance between people, using waveforms as a metaphor. If it were just a technic

I strongly suspect that the article is allegorical. That it's describing the resonance between people, using waveforms as a metaphor. If it were just a technical article, the last step — where you bring the two signals back into phase with each other — would be pointless and redundant. But if the true meaning is outside the mechanistic / technical, then that last step has tremendous purpose. Bret's background is in electrical engineering. He knows the proper technical meanings of all the terms and concepts in the article. So rather than simply pointing out that he's "misusing" them, perhaps look for reasons that he might have intentionally chosen to do so.