Definitely not true of every site on the web. I tried searching for mentions of hackernews (a relatively large forum, and also vc backed, not independent) on the nytimes website. One result https://www.nytimes.com/2013/03/24/magazine/the-3-10-13-issu...
Most media sources aren't embedded in small forums.
Admittedly - it's fairly certain that some of those will be about ycombinator itself - but I don't really find that outside the scope of the ask - given that many of the hits for twitter are really just following the company drama and not expanding the reach of a single user's tweet.
Couldn’t find a single other mention of the specific website. I don’t think talking about the company counts, since we’re talking about how much things that circulate on Twitter make it in the news. I can point you to 1000s of tweets that have been in nytimes articles, but only 1 hackernews post
Admittedly - it's fairly certain that some of those will be about ycombinator itself - but I don't really find that outside the scope of the ask - given that many of the hits for twitter are really just following the company drama and not expanding the reach of a single user's tweet.