Should it? Should free speech be extended beyond the bounds of government and if so doesn’t that contradict its original meaning by making the government restrict who should and shouldn’t provide uncensored free speech?
this is a clear violation of the First Amendment, which makes it legal to publish lies.
Yep — here we're getting into Prior Restraint. It's both against the law to restrain free speech such as lies, but as you rightly point out, this speech can have other legal consequences.