I've seen that too. But they're mistaken. "Censoring the internet" is not what this law does. That's hyperbole not based on any reasonable interpretation of the actual law.
Don't misunderstand me; this is not a good law. Nobody should be happy about it. But it is prudent, wise and perhaps even necessary. Refusing to acknowledge this while ignoring that actual 1st amendment concerns that this law will be challenged on does not help your argument.
That's a separate issue that could not be addressed with this kind of law anyway.