Ok so AFAIK what you are trying to say is that corporations, as well as media moguls, already have power in controlling what people say and hear. It's true that is already a problem. So why don't we try to stop it from getting worse?
The fact is the trend is towards people digesting news through filters such as Twitter, Facebook and Google. I don't want to see private corporations have unprecedented control in censoring the perceived choice of consumers in what they see and hear.
The war on fake news is lending to a theme towards censorship. I think most people are aware most news is already produced by a few major media corporations. I don't want to live in a world where everything else is considered "fake."
Moreover, my understanding is that Google and Facebook already censor what consumers see based on what their data suggests they will like (or what will generate greater ad views/clicks/whatever).
It seems to me that the real problem isn't that aggregators may "censor" news, it's the suggestion that there's nothing to be done about it. Surely consumers can just read the NY Times or whatever sources they trust instead of relying solely on social media. The problem might be apathy or lack of free time or lack of critical thinking, but I don't think it's Facebook and Google trying to stop fake news from spreading on their networks.
You don't know much about Rupert Murdoch or Hearst, do you?