Is “The Annals state that Xia Gui left without fighting, and Jia Sidao and Sun Huchen both fled to Yangzhou; while the Biographies of Treacherous Officials record that Xia Gui had words of excuse about bloody fighting, and Jia Sidao once went ashore to rally the defeated troops.” true?

In the History of Song, Annals of Emperor Gong and the Two Princes, it is recorded: 'Huchen fought with the Great Yuan troops at Dingjiazhou, was defeated, and fled to Lugang. Xia Gui left without fighting. Sidao and Huchen fled to Yangzhou in a single boat, and all the troops collapsed.' However, in the History of Song, Biographies of Treacherous Officials, Volume 4, it says: 'Gui smiled and said, "I have already fought a bloody battle against them." Sidao said, "What plan should we adopt?" Gui said, "The troops have lost their courage. How can I fight? You should only go to Yangzhou, rally the defeated soldiers, and meet the emperor at sea. I will defend Huaixi to the death." Then he untied his boat and left. Sidao also fled to Yangzhou with Huchen in a single boat. The next day, defeated soldiers covered the river downstream. Sidao sent people ashore to raise flags and summon them, but they did not come.' The two places differ in their accounts of Xia Gui's attitude at the battle and Jia Sidao's actions after the defeat.