Earlier quoted context omitted.
If they are actually being labelled as false as part of the justification , there is at least an arguable case of defamation, stronger in a jurisdiction like Britain where truth of the damaging published characterization is a defense that the defendant must prove rather than falsity of the claim being an element that the plaintiff must prove.
Defamation by... censoring?
Where they went too far is with their “hoax alert” and their headline that said their article was false without evidence.