The code is open source: https://github.com/twitter/communitynotes

The notes and rating data is released to the public every day: https://twitter.com/i/communitynotes/download-data

Feel free to run the matrix factorization code on the data, and then try to interpret the resulting latent dimension it finds for yourself! And also, you can read the code to verify that it really is running a matrix factorization rather than hardcoding a particular left/right split.