In Sahih Bukhari,in the 3rd Book (كتاب العلم) in Chapter 39. (The writing of knowledge (باب كِتَابَةِ الْعِلْمِ), 111th Hadith states the following:
Abu Juhaifa said, "I asked
Ali, 'Have you got any book (which has been revealed to the Prophet (ﷺ) apart from the Qur'an)?'Ali replied, 'No, except Allah's Book or the power of understanding which has been bestowed (by Allah) upon a Muslim or what is (written) in this sheet of paper (with me).' Abu Juhaifa said, "I asked, 'What is (written) in this sheet of paper?' `Ali replied, it deals with The Diyya (compensation (blood money) paid by the killer to the relatives of the victim), the ransom for the releasing of the captives from the hands of the enemies, and the law that no Muslim should be killed in Qisas (equality in punishment) for the killing of (a disbeliever).
حَدَّثَنَا مُحَمَّدُ بْنُ سَلاَمٍ، قَالَ أَخْبَرَنَا وَكِيعٌ، عَنْ سُفْيَانَ، عَنْ مُطَرِّفٍ، عَنِ الشَّعْبِيِّ، عَنْ أَبِي جُحَيْفَةَ، قَالَ قُلْتُ لِعَلِيٍّ هَلْ عِنْدَكُمْ كِتَابٌ قَالَ لاَ، إِلاَّ كِتَابُ اللَّهِ، أَوْ فَهْمٌ أُعْطِيَهُ رَجُلٌ مُسْلِمٌ، أَوْ مَا فِي هَذِهِ الصَّحِيفَةِ. قَالَ قُلْتُ فَمَا فِي هَذِهِ الصَّحِيفَةِ قَالَ الْعَقْلُ، وَفَكَاكُ الأَسِيرِ، وَلاَ يُقْتَلُ مُسْلِمٌ بِكَافِرٍ.
"No, except Allah's Book". Does that mean the only revelation was the Quran and the Sunnah is not a revelation just the practical understanding of the Quran? Would not this information change the concept how we classify which Hadith is Sahih which is not?