Calling this a "top news spot" ... I have no words. Perhaps we should say that this complaint is "fake news" ? I get that newspapers and even journalists have their existence threatened by Facebook and Google, but ... this is a low and very thin argument.
I don't understand what they want either. Censorship seems to be the real issue. The article is not so much taking offence at the information available, they're just angry that the information wasn't filtered through the "normal" channels. They were very unhappy various things didn't get suppressed. That Google had the gall to surface "unauthorized" information.
Never mind that if I was said falsely accused person, I would definitely have wanted that information surfaced. Including to a lawyer, and later to a judge. At issue are the person starting this rumour, and the publisher (ie. 4chan).
Their point is that in this case, things should have gotten suppressed, like naming a person as a culprit that had nothing to do with the incident. Now keep in mind that this is hyperbole: any searches related to the Las Vegas shooting never named anyone, but if you searched for that person's exact name it would surface a "fresh" result ... from 4chan, claiming he had something to do with the shooting.
I would argue that newspapers have done much worse than this. Much worse. Often repeatedly and in cases where there was an obvious financial or political motive for them to spread misinformation. I'd rather have all information, knowing that some may be wrong.
And the newspapers' "right" to filter all information I may see ? Screw that, if I want to see your filtered info, I'll go to your site. I may want to do that, for verification and because I think your filter is useful, but I do not want you or anyone filtering everything I see.