Perhaps the article is being devious here. It's not easy for people to separate intentions and actions - sometimes an intention can form to rationalise a preceding action (e.g. https://en.wikipedia.org/wiki/Ben_Franklin_effect). Even though your initial intention may be to manipulate by appearing to genuinely listen, you may end up just genuinely listening and rationalising that this was your intent all along. This line of reasoning could trick the most ardent zealots into accidentally genuinely listening to their enemies' point of view.
Relatedly, I think another effective persuasive technique is 'seeding'. If you can engineer a 'non-defensive' conversation with your opponent in which you seed one or two critical thoughts in their mind, although they won't be instantaneously persuaded the seeds can germinate into full persuasion later on. However, this technique requires avoidance of confrontational behaviours that cause your opponent to activate their mental defenses.