What then is the "editor" job at a paper like NYT?

When a publisher chooses to include or not include certain content, is that really censorship? Are the companies building and publishing these models not entitled to choose what information they wish to train them on? Or should they be forced to train on anything anyone may want the model to spit out later? What about the people who want to prevent these same companies from training on their works? If they restrict what these companies can train on, is the company censoring the model in this case?