Edit: this, from https://communitynotes.twitter.com/guide/en/about/introducti... (via your third link) is interesting:
Community Notes doesn't work by majority rules. To identify notes that are helpful to a wide range of people, notes require agreement between contributors who have sometimes disagreed in their past ratings. This helps prevent one-sided ratings.
Then they link to https://communitynotes.twitter.com/guide/en/contributing/div..., which expands on that. It seems they're basically trying to control for ideological perspective, i.e. to identify signal that doesn't just boil down to "I like / agree with this". I've often wondered if something like that could work.
I didn't look into the details myself, but there is a 24-page paper linked from this page:
>Details of our methodology and past findings can be found in our paper.
https://communitynotes.twitter.com/guide/en/under-the-hood/g...
https://github.com/twitter/communitynotes/blob/main/birdwatc...
https://news.ycombinator.com/item?id=25906672
https://news.ycombinator.com/item?id=25908439
https://news.ycombinator.com/item?id=33478845