Is “Mao Sui recommended himself when Lord Pingyuan was selecting retainers, and before the King of Chu, he pressed his sword and forced the king to seal the alliance with blood.” true?

According to the Records of the Grand Historian, 'Biographies of Lord Pingyuan and Yu Qing', Mao Sui 'pressed his sword and ascended the steps... then summoned the attendants of the King of Chu and said, 'Bring the blood of chicken, dog, and horse'... and thus the alliance was concluded.' The Chronicles of the Eastern Zhou Kingdoms faithfully reproduces the process of Mao Sui standing out and intimidating Chu in the hall.