Agreed, it feels like something someone who had never had a conversation with a human being that strongly disagreed with them would write. If it was an introspective question meant to question the framing of trying to convince people through arguments in general, it might be meaningful.

I think it's fair to try to establish if the person you're talking to has an unfalsifiable belief and walk away if you're arguing with a brick wall, but that's definitely not the way to go about it.