> people will take the output of the chatbot as authoritative even when it could possibly have errors or miss important nuance?

Meh, the kind of person who would accept bot output without even reading its sources are already trusting the world's dumbest model, Google's "AI Overview" by searching and reading that instead of clicking any results. If we can get even some of them to start out at america.gov instead of google.com for those questions, it's likely going to be far higher quality due to using a better model and having been trained, I assume, to only answer using knowledge from a .gov primary source rather than guessing based on vibes, or on jokes once seen on Reddit, as AI Overview tends to.