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What does the story of Archimedes refusing to leave his diagrams say happened?

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Portrait of Archimedes by Giuseppe Nogari shows an elderly man with white hair and beard, holding a compass, gazing downward, set against a dark background. — Archimedes Archimedes, oil on canvas by Giuseppe Nogari, 18th century; in the Pushkin Fine Arts Museum, Moscow. Archimedes was an ancient Greek mathematician and inventor.

The story regarding Archimedes refusing to leave his diagrams suggests that he was killed by a Roman soldier during the fall of Syracuse because he would not abandon his mathematical work.1

However, it is important to clarify that this account is considered apocryphal. While it is a popular story that reflects his profound dedication to mathematics, it is not a verified historical fact. The tale serves as an anecdotal illustration of the deep impression his intellectual focus and mechanical genius left on the popular imagination. Regardless of the specific circumstances of his death, the Roman general Marcus Claudius Marcellus reportedly regretted the loss of such a brilliant mind.21