For me it shows I'm logged into HN, but shows I'm 'not logged in' many of other things that I'm actually logged in to, like Twitter, Reddit, Facebook and a few others.
I already had Privacy Badger and had disabled third-party cookies, but it's good to have confirmation that it's working. I'm showing up as not logged into anything, even though I am, in fact, logged into six of those services (including HN, obviously).
This page suggest that I am logged into "VK", which apparently is the Russian-equivalent of Facebook, but I never heard of it before this. Any reason why that is?