Somehow Wikipedia made it work. Seems like a similar effort could work here, of course with the additional challenge of being more-realtime. It may be a different goal than the other parts of Twitter content, but that doesn't make it impossible.
To make it work, we need non-profit social media network. But one can dream, that is not going to happen.
Their editor culture is also pretty disciplined. I don’t think we have any reason to believe Twitter users are up to the task.