Posting on someone's status is public. Anyone who accesses my profile can see posts here. To send a private message from here, you need to click on the message link on the black bar, or in my case, dog and cat photo.
NYT limit: On my ipad, I delete the NYTIMES.com cookie. On my computers, I use a different browser to read the articles. They all store their cookies in different places. I could look up the NYT cookie, but have not bothered.