Is “Xiao He's rank in the formal history genre” true?

In Records of the Grand Historian, the Hereditary House of Chancellor Xiao gives Xiao He an extremely high status, placing him among the 'hereditary houses' of the feudal lords, and praises him as a founding hero: 'Chancellor Xiao He was a scribe in the Qin dynasty, ordinary and without remarkable deeds. When Han arose, relying on the last light of the sun and moon, He carefully guarded the keys, and because the people hated the harsh laws, he followed the current and made a new beginning. Han Xin, Qing Bu, and others were all executed, but He's merit shone brightly.' In History of Han, the Biography of Xiao He and Cao Shen abolishes the precedent of listing meritorious officials in the hereditary houses, demoting him to the biographies and combining him with Cao Shen in one volume: 'Xiao He and Cao Shen both rose from Qin scribes, at the time ordinary and without remarkable deeds.' The institutional rank was thus downgraded.