That’s exactly my point: You present yet another alternative view as facts, which would get debated by the former two groups. There is no authority to establish which of the three views is the canonical truth, regardless of how much you think your own is obviously and objectively true.
I deliberately tried as hard as possible to phrase the things I said in such a way that either of the groups you proposed would find no objection to my saying those things were true. Perhaps I failed in some way, but I don't think I did. My point is that we can indeed agree upon some facts as to what happened, but that those are not what people argue over. They argue over an interpretation of the facts that tells some story about who is the "good guy" and the "bad guy", but not the facts themselves. And in my experience, that is generally the form of all disputes over "facts": they are very rarely actual disagreements on what events happened, but rather disagreements about why they happened or if it was acceptable for those things to happen.