This is the wrong way around. The NYT wants money for the use of its "intellectual property". This is about money for property owners. When building rents go up, you wouldn't expect construction workers to benefit, right?
In fact, more money for property owners means that workers lose out, because where else is the money going to come from? (well, "money")
AI, like all previous forms of automation, allows us to produce more and better goods and services with the same amount of labor. On average, society becomes richer. Whether these gains should go to the rich, or be more evenly distributed, is a choice that we, as a society, make. It's a matter of law, not technology.
The NYT lawsuit is about sending these gains to the rich. The NYT has already made its money from its articles. The authors were paid, in full, and will not get any more money. Giving money to these property owners will not make society any richer. It just moves wealth to property owners for being property owners. It's about more money for the rich.
If OpenAI has to pay these property owners for no additional labor, then it will eventually have to increase subscription fees to balance the cash flow. People, who pay a subscription, probably feel that it benefits them, whether they use it for creative writing, programming, or entertainment. They must feel that the benefit is worth, at least, that much in terms of money.
So, the subscription fees represent a part of the gains to society. If a part of these subscription fees is paid to property owners, who did not contribute anything, then that means that this part of the social gains is funneled to property owners, IE mainly the ultra-rich, simply for being owners/ultra-rich.