Whenever I use AI in social settings to fact check or do research or get advice, I always trust but verify, but also disclaim it so that people know to trust but verify.
I think this is a good habit to get people into, even in casual conversations. Even if someone didn't directly get their info from AI and got it online, the content could have still been generated by AI. Like you said, the trust part of trust but verify is quickly dwindling.