Web2Cit isn't working with pages from nytimes.com. See for example https://www.nytimes.com/2025/10/30/us/politics/food-stamps-shutdown.html.
Server says no applicable translation template is found, meaning the fallback template is failing.
Note that this does work with Citoid, although it should be noted that in the source it appears "citoid" instead of the more usual "zotero".