i assume ur talking about the insults and aggression yea? tbh i don't rly see that as much of a reason to not admit to being wrong still, i can at least kinda understand if they fight back because of it but they'd still look so much better if they just conceded, even more so if the aggressor is acting that way
Everyone goes in to be contrary, not to be agreeable, thus nobody can be wrong or change their mind on a topic. More people attack the person than the problem, so that just makes people further entrench in their opinion.