They are not giving it out "for free", in fact they're being paid by their employer to write these articles. Moreover, the writers themselves stand noth' to gain from their past writings financially as they don't belong to the ownership structure of the business.
ChatGPT isn't competing with NYT on a core competency. No one uses LLMs for original news reporting. They're obviously incapable of doing that, by virtue of not being there on the scene or able to independently research a topic, maintain relationships with sources, etc. What ChatGPT can do is quote/reproduce some parts of past articles, and reason from them. Or at least produce new text that's somewhat related to the old text.
The threat to NYT is this: ChatGPT is much better bullshitter than they are, so it reduces NYT to its core competency: providing original information. Which is all it should be doing in the first place. But instead, NYT wants to not only keep the bullshitting part of its revenue, but also take a cut or destroy the much greater and much more useful part of where this all feeds a general-purpose language model.
This is a badly-formulated conjecture, or worse, ultimately selective reading of "social credit" which only purpose is serving your argument; it has nothing to do with economics. I'm sorry, but I'm not convinced.
This is a dumb argument. We're not just talking about ancient articles. We're talking about new content, including content that is yet to be written.
OpenSource developers did that ;)
Earnestly I found ";)" deeply troublesome.
You're fighting a scarecrow that doesn't exist...