Were Hadith narrated along with Quran?

For the first couple hundred years after the death of the prophet, the main focus for most Muslims was the Quran. Sunni Islam did not become mainstream until around the year 848 CE, during the reign of the Abbasid Caliph Mutawakkil. Before that, people who propagated Hadith were fringe and not mainstream. According to “Hadith Literature, Its Origin, Development & Special Features” by Muhammad Zubayr Siddiqi ~99% of the companions did not narrate any Hadith.

Additionally, there was no formal effort by any of the first four Caliphs to formally catalog and compile Hadith like they did the Quran. Not only did they not make an effort to preserve the Hadith, but the history of Abu Bakr, Umar, Uthman, and Ali shows that they actively tried to suppress the spread of Hadith.

ABU BAKR AND HADITH

According to a narration some writers report from al-Hakim an-Nisaburi, Aisha stated the following:

Narrated ‘Aisha: My father had collected five hundred hadiths of the Prophet. On the night he did it, he tossed and turned in bed. I asked, “Do you have an illness or have you heard something?” In the morning, he said, “My daughter! Bring me the hadiths that I gave you.” I brought them. He wanted some fire and burned them. When I asked him why he burned them, he said, “I do not want to die having these hadiths with me because I am afraid that there are hadiths that are not originally as they are reported though I heard them from people whom I trust; I am afraid to narrate them that way”