Is “The novel fictionalizes that Lü Xiang was stabbed to death by Zhang Fei during the attack on Xinye; in official history, Lü Xiang was enfeoffed as a liehou after surrendering to Cao Cao, with no record of dying in battle.” true?

In official history, it is recorded that Lü Xiang and Lü Kuang together betrayed Yuan Shang and surrendered to Cao Cao: "Dongping's Lü Kuang and Lü Xiang rebelled against Shang, stationed at Yangping, led their troops to surrender, and were enfeoffed as liehou" (Records of the Three Kingdoms, Book of Wei, Annals of Emperor Wu). After that, there is no further record of him in official history, nor any record of his death in battle. In Romance of the Three Kingdoms, Chapter 35, it is fictionalized that when he fled after defeat, he encountered Zhang Fei's interception, and "Xiang, caught off guard, was stabbed by Zhang Fei's spear, fell off his horse, and died."