It appears anyone can read any new NYT article in the Internet Archive. I use a text-only browser. I am not using Javascript. I do not send a User-Agent header. Don't take my word for it. Here is an example:
https://web.archive.org/web/20240603124838if_/https://www.ny...
If I am not mistaken the NYT recently had their entire private Github repository, a very large one, made public without their consent. This despite the staff at the NYT being "well-versed" in whatever it is the HN commenter thinks they are well versed in.