It does not work without a popular "browser", i.e., cookies, Javascript, etc.

I never hit a "paywall" when reading NYT via the commandline.

"I've noticed sometimes if you hit the paywall and then try a different browser the paywall is still there."

If stop using a popular "browser", then it is gone.

A couple of easy ways to get NYT article URLs

1. Sitemaps, e.g.,

   https://www.nytimes.com/sitemaps/new/sitemap-2022-01.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-02.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-03.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-04.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-05.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-06.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-07.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-08.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-2022-09.xml.gz

   https://www.nytimes.com/sitemaps/new/sitemap-1975-01.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-02.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-03.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-04.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-05.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-06.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-07.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-08.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-09.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-10.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-11.xml.gz
   https://www.nytimes.com/sitemaps/new/sitemap-1975-12.xml.gz

2. JSONP

   https://static01.nyt.com/services/json/sectionfronts/$1/index.jsonp

where $1 is one of the following

   fashion    
   crosswords
   us
   briefing
   sports
   opinion
   magazine
   theater
   style
   business
   technology
   realestate
   t-magazine
   climate
   nyregion
   arts
   obituaries
   dining
   health
   briefing
   well
   learning
   science

It is possible that this question is being asked because the submitter wants to try to annoy www users with a "paywall" like the one used by the NYT. Let's hope not.