In my own experience, the vast majority of people using this phrase ARE using it as a source of authority. People will ask me about things I am an actual expert in, and then when they don’t like my response, hit me with the ol’ “well, I asked chatGPT and it said…”

It's a social-media-level of fact checking, that is to say, you feel something is right but have no clue if it actually is. If you had a better source for a fact, you'd quote that source rather than the LLM.

Just do the research, and you don't have to qualify it. "GPT said that Don Knuth said..." Just verify that Don said it, and report the real fact! And if something turns out to be too difficult to fact check, that's still valuable information.