[Question] Will outlets like the NYT be captured by Chinese influence and if so, when?

John Cena apology for suggesting that Taiwan is a country by saying “Taiwan is the first country that can watch F9” illustrates how China has immense power over Hollywood. As China’s influence growth in the world they will try to exert influence on more Western institutions. Should we expect outlets like the NYT to change in a way where calling China a country is a bad career move? If not, what will stop China from expanding it’s influence in such a way that it has similar influence over the NYT as it currently has over Hollywood? It it does happen, how long will it take?