How does the saying about the Qur'an in the Hadith, "I am your companion, the Qur'an," accord with the belief that it is the uncreated word of Allah?

The Prophet, peace and blessings be upon him, narrated hadiths regarding the virtues of Surahs Al-Baqarah and Al Imran, stating that the Quran will come on the Day of Resurrection as a pale young man to intercede for its companion, and that the parents of the one who memorizes the Quran will be adorned with a crown of dignity and robes beyond the worth of this world. The intent of these hadiths is not that the Holy Quran itself, which is the uncreated word of Allah, will appear in a physical form. Rather, it means that the reward for reciting the Quran and a person's عمل (deeds) in accordance with it will be embodied on the Day of Resurrection, appearing to their companion in a form resembling a young man, interceding for him, and honoring his parents. Thus, it is the deeds and their rewards that will be embodied and weighed on the Day of Resurrection.