What is the authenticity of the story of al-Shafi'i going to the mosque of Abu Hanifah and not reciting the qunut in the Fajr prayer out of respect for Abu Hanifah?

The questioner : ... O our Shaykh, there is a famous story that most of the imams mention when discussing this issue, for example, the story of Imam al-Shafi'i when he went to the mosque of Imam Abu Hanifah and did not recite the qunut in the Fajr prayer out of respect for him, or something like that. Does this story have a basis, or is it established?

The Shaykh : No, it is not authentic.

The questioner : Where was this story mentioned?

The Shaykh : I think, if my memory does not fail me, it is mentioned in the History of Baghdad, but I certainly remember it in al-Silsilah al-Da'ifah.