Information itself cannot be trustworthy. It can be right, it can be wrong, or it can be somewhere in between. Only a source can have trustworthiness, as it's a mixed measure of reputation and provable accuracy.

You filter out known untrustworthy sources to not waste your time verifying false information 100x more than you need to. I know The Onion is a satire publication. I do not need to verify its claims. It's an intentionally untrustworthy source. I know that LLMs can hallucinate information, so I verify with a more trustworthy source. I cross-reference things random people say on the internet, because random people on the internet are not, individually, trustworthy sources of information.

If a rocket engineer explains to me why Rocket A isn't flight ready, I'm more inclined to believe them than if a random commenter on the internet explains it to me. Because the one source is more trustworthy than another, and if I wanted to verify the claim myself I'd have to spend a lot of time studying rocket science.