Yea, for the most part, it doesn't matter if news is false, I don't think. We don't do anything with that information, just experience feelings.
You might say, what if it has real consequences like who gets elected, having a war, or making personal lifestyle choices? Yes, but true news already influences people to make bad decisions like that using its emotional tricks, so what's the difference? At least if it's all false, people won't take it so seriously. I think the truth in news is mostly there to enhance entertainment value, like a movie that's "based on a true story" is more satisfying than one that isn't.
I wasn't thinking of this particular story. Doesn't seem vary hate-inducing to me, but the meta-story about how journalists aren't doing their job does!