I don't know that the editors and writers profit directly, beyond their salaries. More like the companies are run at a loss in order to control the conversation. Of course seats are filled with people that push the line the owners prefer.
The owners like to think of themselves as the decision-making elite of the country, and the White House flatters that delusion by giving them illusion of being consulted. This creates sympathy for the WH's views at the top of the NYT, and that attitude percolates implicitly to the editors.