In "The Lottery" by Shirley Jackson, Mrs. Hutchinson doesn't want them to start over. Instead, she protests against the tradition of the lottery itself. She questions the fairness and morality of the lottery and suggests that they should reconsider the entire practice. This is important to her because she realizes the grave consequences of the lottery and wants to challenge the system that puts innocent lives at risk. Mrs. Hutchinson's objection highlights her resistance to the blind acceptance of harmful traditions and her desire for change. It's a thought-provoking story that raises questions about the nature of tradition and the dangers of unquestioningly following customs.