This would bring up the cost of entry for making a model and nothing more. OpenAI will buy the data if they have too and so will google. The money will only go to the owners of the New York Times and its shareholders, none of the journalists who will be let go in the coming years will see a dime.
We must keep the entry into the AI game as low as possible or the only two players will be Microsoft and Google. And as our economy becomes increasingly AI driven, this will cement them owning it.