Is “In the novel, after Chen Gong was captured in defeat, he entrusted his elderly mother to Cao Cao using the principle of 'ruling the world with filial piety'. This dialogue is indeed recorded in official history.” true?

In Chapter 19 of Romance of the Three Kingdoms, after Chen Gong was captured, Cao Cao asked about his mother and wife. Chen Gong replied: 'I have heard that one who rules the world with filial piety does not harm the relatives of others, and one who practices benevolent governance does not cut off the sacrifices of others. The fate of my mother and wife lies with you, my lord.' This is not only literary creation but also real history. In Records of the Three Kingdoms, Book of Wei, Biographies of Lü Bu, Zhang Miao, and Zang Hong, it is recorded that Cao Cao asked, 'Do you want to spare your mother and daughter?' Chen Gong then answered, 'I have heard that one who rules with filial piety does not cut off the sacrifices of others.' The novel basically copied this historical dialogue verbatim, showing Chen Gong's calmness in facing death.