Not necessarily.
This format is primarily public discourse.
Other Christians frequently tell me in public that they don't like how I did something or they disagree with me or they think that I'm acting in a bad way, and if I respect them and feel like that's God speaking to me through them, then I try to respond with the soft heart. If not, then just let it go.
At least those are the two paths I think I should go down, but often I may erupt with a harder heart.
I think Jesus' instruction to privately handle matters of being sinned against by your brother to be something that is meant to be experienced on a scale. I don't think he meant that if someone called you a bad name or had a public disagreement with you and he didn't repent that you should take the elders to talk to him.
