Is “The King of Qin privately decided to execute Shan Xiongxin due to the grudge of Xuanwu Mausoleum.” true?

In the novel 'Romance of the Sui and Tang Dynasties', Chapter 60, it is written that the King of Qin insisted on executing Shan Xiongxin due to personal grudge: 'The King of Qin did not say it out, but ultimately because of the matter of Xuanwu Mausoleum, he was unhappy in his heart, saying: "What the generals request is ultimately personal feelings; my national law cannot be abolished."' But in official history, the death of Shan Xiongxin was decided by Emperor Gaozu. For example, in the 'Old Book of Tang: Biographies of Li Jing and Li Ji', it is recorded that Li Ji pleaded for mercy, 'asking to redeem him with his official rank and fief. Emperor Gaozu did not permit. When he was about to be executed, Li Ji wailed facing him.' This shows that the novel rewrote the decision-making process.