This really depends on context. Sure, if you're responding to a forum post or StackOverflow question with nothing but the LLM output, then I agree with this. On the other hand, where I've done this at work, it's because I and some peers _together_ are trying to understand something (e.g., debugging), and Claude has some potentially useful input, but I'm not actually sure. And I'm looking to collaborate on interpreting the output together to see if there's anything useful. (Folks can decide to ignore it if it doesn't seem promising.) As another comment[1] said, pasting the output as-is contains other useful metadata.
There are also cases where I think I know the answer, and I ask the AI, and it produces a more complete answer than I would but I know enough to assess it. It seems like a waste of time to paraphrase the whole thing. That's the "Here's how Claude phrased it and I can attest that it's right" case.
[1] https://news.ycombinator.com/item?id=48243331