Is “The Qi Grand Historian's brothers were killed one after another for truthfully recording 'Cui Zhu murdered his lord,' and even the Southern Historian did not yield.” true?

According to the Zuo Commentary, Duke Xiang, 25th year: 'The Grand Historian wrote: "Cui Zhu murdered his lord." Cui killed him. His younger brother continued the record, and two more died. His younger brother again wrote, then Cui let him go.' The historian's unyielding integrity is clearly recorded in the official history.