I guess a related pattern is the symmetric case where people talk past each other because both sides are afraid their arguments won’t get heard, so they both focus on repeating their arguments and nobody really listens (or maybe they do, but not in a way that convinces the other person they really got their argument). So there, too, I agree with your advice—taking a step back and repeating the other person’s viewpoint seems like the best way out of this.
I guess a related pattern is the symmetric case where people talk past each other because both sides are afraid their arguments won’t get heard, so they both focus on repeating their arguments and nobody really listens (or maybe they do, but not in a way that convinces the other person they really got their argument). So there, too, I agree with your advice—taking a step back and repeating the other person’s viewpoint seems like the best way out of this.