To me that's the opposite. Whatever an LLM gives me, I view with skepticism. If I google sth then I quickly get a sense of how much I can trust it and what the BS factor is. I can refine my view in either case, but my a priori trust with an LLM is much lower.
Maybe we just need to work on training the general population to have a similar bias. (It will be harder than it sounds. Unbelievable amounts of capital are being bet on this not happening.)