On my iPhone I don't get the scrolling bug you talk about (and don't recall ever having it on NYT pages), but I do have two options to fix it if it comes up - t

On my iPhone I don't get the scrolling bug you talk about (and don't recall ever having it on NYT pages), but I do have two options to fix it if it comes up - the reading mode where it strips everything but the content, and the "show me the desktop site" button that would presumably strip whatever the mobile site is doing that screws it up for you. Haven't owned an iPad for a few years though so don't know how different it might be.