The archive link doesn't threaten their jobs and helps them avoid paying for NYT. It's NIMBY, or rather it's true form of NIIIM (Not if it impacts me).
It is pretty funny. If you go back and read the comments made yesterday about ChatGPT doing something much milder (using old articles to train data, some prompts fused to allow you to reproduce some of the articles though now don't work), you have a lot of comments talking about how The New York Times needs money and Open AI is using their work without paying for it.
Now a comment points out that HN News (and most of the internet) routinely does something much worse - allows people to bypass completely new articles in their entirety without paying - and almost all the comments are about how it's the New York Times fault for making it difficult to cancel subscription, the importance of news being available to everyone, the problems with copyright laws, etc.
Hypocrites are EVERYWHERE and are the majority.