This makes it rather unusable as a catch all goto resource, sadly. People are curious by nature. Refusing to answer their questions doesn't squash that, it leads them to potentially less trustworthy sources.
Claude to circumvent Eastern censorship
Grok Unhinged for a wild time
But that's good
The AI won't tell the reader what to think in an authoritative voice. This is better than the AI trying to decide what is true and what isn't.
However, the AI should be able to search the web and present it's findings without refusals. Obviously, always presenting the sources. And the AI should never use an authoritative tone and it should be transparent about the steps it took to gather the information, and present the sites and tracks it didn't follow.