Possibly a distinction needs to be made between raw llm output, raw google output (like lmgtfy), or any other tool's raw output on the one hand, and a synthesis of your conclusions after having used these tools together, on the other.

Obviously cut&pasting the raw output of a google search or pubmed search or etc would be silly. Same goes for AI generated summaries and such. But references you find this way can certainly be useful.

And using spelling checkers, grammar checkers, style checkers, translation tools or etc (old fashioned or new AI-enhanced) should be ok if used wisely.