Was the story of the Prophet teaching his son Ibrahim at the time of his death, along with the accompanying conversation with Umar ibn al-Khattab and the revelation of a Quranic verse, mentioned in the form stated in the question?

No evidence has been found to confirm the story of instructing the deceased before burial, and there is no statement from scholars affirming its permissibility. Rather, some of them held the view that instruction after burial is permissible, and they all agreed on its permissibility during the throes of death.