paywall
edit: sorry, not a paywall I did not see the link at first cancelled downvote, have an upvote instead.
I’m not a subscriber and I don’t see a paywall. It might be a soft paywall you can block with an adblocker.
A DNS based blocker wouldn’t block this, because the subscribe prompt is almost definitely being done by a script from the main NYT domain. The DNS blocker only blocks things that come from domains only used for things that should be blocked, and can’t differentiate between what type of content is being loaded (script vs image vs raw HTML) and definitely not between different things in the same class (paywall script vs the script that makes the buttons work).