I am lucky that I work with great teams and so when someone says "this is how Claude (or Gemini) summaries the situation" it does mean "I read it and it's right-enough to be helpful, so I am passing it along without editing"
Obviously for this to work you need (1) a team that's smart and mature enough to own the AI output it puts forward and (2) shared understanding that people are operating this way.
I do find that when you have 1 and 2 this is a real accelerant. I asked a sales rep the other day what was going on in a key account and he forwarded along a 10 page Claude synthesis.
The reality is this is better intel than I would have been able to get in a pre-AI era this quickly. And yes once I went into the weeds on the doc I found one thing that didn't make sense and I asked the rep he stared at it and said "you are right that's a hallucination I don't notice" but overall it was still worth it.