Is “Zhu Tong later followed Liu Guangshi in a great victory over the Jin soldiers, rose to the position of Military Commissioner of Taiping Prefecture, and met a good end.” true?

In the ending of "Water Margin", Zhu Tong is one of the very few heroes who gained the court's重用 and could achieve merits. Chapter 120 of "Water Margin" states: "只有朱仝在保定府管军有功，后随刘光世破了大金，直做到太平军节度使。" However, consulting official historical records such as "History of Song: Biography of Liu Guangshi" that describe the anti-Jin wars in the early Southern Song, there is no military governor named Zhu Tong among Liu Guangshi's subordinate generals. The novel's arrangement of his ending as a hero in the anti-Jin campaign mainly catered to the Southern Song folk's loyalty to the emperor and patriotism, and is not the true fate of a historical figure.