Is “In the novel, Liu Heita is beheaded in battle by Yuchi Jingde, while in official history he was defeated and pacified.” true?

In the Old Book of Tang, biographies of Li Jing and Li Ji, it is recorded that Liu Heita raised troops after Dou Jiande and was pacified by Li Ji: 'He also defeated Liu Heita and Xu Yuanlang, and pacified them.' In chapter 58 of Romance of the Sui and Tang Dynasties, it is written that during the Battle of Hulao, he was directly killed by Yuchi Jingde: 'Then Jingde presented Liu Heita's head, Wang Bu presented Fan Yuan's head, and Luo Shixin captured Zheng's envoy Changsun Anshi alive, all reporting their merits.' The novel greatly advances and alters the cause of Liu Heita's death.