Maybe they should allow the Internet Archive access to their article after a week or 2.
But I think this will hurt them as time goes on more then help. IIRC, one news org blocked free access and their revenue fell. I think that was in Australia.
But seems they are using AI as the reason. So allowing after a week will not avoid AI access.
But, what happens of an AI Company subscribes to the news site using a person's name (or a fake name) ? They will still get the article and avoid hassles.
That sounds like a good idea to me.
One of the tests for Fair Use in the US, as I understand it, would be whether the archived work "competes" with the original.
If people start going to IA instead to read the news, the newspaper might have a claim. But if they're doing it to get around paywalls, or purely for archival/historical/research purposes, that may be allowed.
But the reality is such decisions are subjective and will be up to whatever judge happens to get such a case in front of them if this is challenged.
It may be easier to convince them if the Internet Archive doesn't allow access for <period of time>. Not good for the average user now, but at least it would be archived for the future. Better than having no archive at all.