Is Liu Bei really a descendant of Liu Bi?

Liu Bei is a descendant of Liu Bang, and Liu Bi is Liu Bang's nephew, so Liu Bei is not a descendant of Liu Bi, and can only be regarded as the same clan. Liu Bi's descendants, Historical Records and Hanshu only mentioned two people, namely the King of Wu and the King of Ju. King Wu was killed with a chessboard while playing chess. I don't know what happened to Wang Ziju, but I know that he once fought against Fujian and Vietnam. Liu Bei is a descendant of Liu Sheng, the son of Emperor Jing of Han Dynasty. Among the thirteen sons of Emperor Jing of Han Dynasty, only King Jing of Zhongshan did not like to fight for power and profit, but only liked to spread branches and leaves for the Liu family, so he gave birth to more than 100 sons. It was not clear at that time which son Liu Bei was descended from. The lineages of the royal family and Liu Bei in the Eastern Han Dynasty are as follows: Han Gaozu Liu Bang → Han Heng → Han Jingdi Liu Qi → Changsha → Ling Jiemai → Liu Wai (Yulin Taishou) → Liu Hui (a captain of Julu) → Liu Qin (Nan Dunling) → Emperor Guangwu of Han Dynasty → Liu Wei Zhuang of Han Liu → Liu Wei of Han Zhangdi. Wang Liusheng → Zhuolu Hou Ting Liu Zhen →…… → Xiong Liu → Likas → Emperor Liu Bei of Han Zhaolie. In addition, Pei Songzhi, a poet in the Song Dynasty, quoted the statement in Dianlue, which also preserved another statement that Liu Bei was a descendant of Hou Linyi. Hou Linyi is another son of Liu Sheng, the king of Zhongshan. But in any case, there is no doubt that they are descendants of Liu Sheng. As for the lineages listed in the Romance of the Three Kingdoms, it's funny. The lineages in the romance are as follows: Emperor Gaozu Liu Bang → Han Heng → Han Jingdi Liu Qi → Zhongshan Liu Sheng → Zhuolu Liu Zhen → Pei Ang → Liu Lu → Yishui Lian → Qin Yang Liu Ying → Anguo Hou Liu Jian → Guangling Hou Liu Ai → Jiaohou Liu Xian → Zu. You can calculate, is it Liu Bei's generation or Han Xian's generation? In Romance of the Three Kingdoms, it was his uncle who made Liu Bei unable to move, which really made him laugh. Moreover, the titles of people from Serina Liu to Xiong Liu are also very problematic. No one with a little common sense would make such a fake. A clever man like Cao Cao would make such a fake? And Han Xiandi can't see it when he gets this genealogy? He can't count?