Newspapers are not platforms; they are publications. They have editors who set editorial policy. They are selctive about the content they publish and who writes it. And they are accountable for what gets published.
TikTok is mainly accused exactly of having an editorial policy, via boosting certain content that its owners prefer and de-prioritizing content that they don't. So this is a non-sequitur. And even when talking about false information, newspapers face 0 legal risks for publishing false information, unless it is defamatory (and even then, it's a civil action, no state prosecutor will investigate a paper for publishing false and defamatory information).