Earlier quoted context omitted.
IANAL, but I would start developing my argument with the idea that emails Google placed in my Priority Inbox were sent to me specifically, and the intention of the sender is that I specifically would see it. Google is still not putting anything in front of my eyes that was not intended to be there anyway. When YouTube recommends content to me, the original author did not target that content specifically to me, and Yo…
When you post a story on HN you aren't specifically choosing to send it to a person. Is HN responsible if a harmful story reaches the front page?
There is moderation as well with the removal of stories but I’m not sure the responsibility is for removing harmful content. If someone posted a slanderous story or other illegal content and it was allowed to stay for some length of time then I think HN would be responsible. The most egregious would be if a child porn story was on the front page for days because HN staff chose to leave it there.
For YouTube, they are suggesting beheading videos to my child and I think bear some responsibility for doing that, and hopefully to stop doing that. They are making editorial decisions to promote content and so, I think, shouldn’t be protected by 230.