What exactly did you want to say?
Taking down "Fake News" from your web site is
The problem here is that, similarly to DMCA takedowns, the default action is going to be to take it down as soon as a complaint is filed, not perform some sort of investigation to make sure the complaint is legit. So if you're a party bent on suppressing unfavorable or inconvenient news, it'll be in your interest to gin up complaints to get it removed. The only thing that would act to ameliorate this would be fines for illegitimate complaints, and what are the chances of that happening?