Is “Zhao Kuo only knew how to read military books mechanically, and his mother once wrote to the King of Zhao pointing out that he should not be made a general.” true?

According to the Records of the Grand Historian, Biography of Lian Po and Lin Xiangru, Zhao Kuo's mother wrote to the King of Zhao, saying: 'Now if Kuo is made a general, he will face east and receive the homage of his officers, and none of them will dare to look up at him... Father and son have different hearts, I hope you will not send him.' The scene in the novel where Zhao's mother tries to stop him from going to war originates from this.