Are you speaking of others when you mention "emotional" appeals? I do not make them, for my part.

What you say is logically correct. However, I believe that emotional expressions - not appeals - carry their weight and are influential in one way or another (unless they are extreme).

Even if people disagree and the interlocutors react contradictorily to each other, the matter is not necessarily settled. Sometimes people say something or react emotionally harshly or arrogantly, but what someone has expressed continues to accompany them and they may reconsider what was pointed out to them. You don't always get to hear about that. It is not easy to admit mistakes or double standards, for example.