Is “In official history, Zhang Xiu pursued Cao Cao alone, while the novel adds Liu Biao going along.” true?

In official history, Zhang Xiu pursued Cao Cao alone, but the novel adds the plot of Liu Biao urging Zhang Xiu and going along in pursuit. The Records of the Three Kingdoms records: 'The太祖 (Cao Cao) attacked him, and one morning led his troops back. Xiu pursued him himself. Jia Xu said to Xiu: "Do not pursue; if you pursue, you will surely lose." Xiu did not listen, advanced and fought, and was greatly defeated and returned.' In Chapter 18 of the Romance of the Three Kingdoms, it is changed to: 'Liu Biao said: "If we do not pursue today, we will miss the opportunity." He strongly urged Xiu to lead more than ten thousand troops to pursue together. After traveling about ten li, they caught up with Cao Cao's rear troops. Cao's troops fought with all their might, and both Xiu and Biao's armies were greatly defeated and returned.'