Is it true that Khalid ibn Sa'id ibn al-'As converted to Islam before Abu Bakr?

Is it true that Khalid ibn Sa'id ibn al-'As converted to Islam before Abu Bakr, and the first person who, according to Muhammad ibn Abi Bakr - and dozens of scholars and historians to convert to Islam - was Imam Ali (as)? If he confessed this fact in a letter to Mu'awiyah and Umar also converted to Islam before Abu Bakr and Abu Bakr converted to Islam after fifty years. If these things are true, why do we turn the truth upside down so much? And we constantly say that the first man to convert to Islam was Abu Bakr. Do we mean by these forgeries and lies to carve out more virtues for the first caliph, or is it important for us to deny the virtues of Imam Ali (as)? 1- Letter from Abu Bakr's son: ((So he was the first to answer, repent, believed, believed, agreed, and embraced Islam. His brother and cousin Ali, and he is the forerunner of all good, the first people to embrace Islam)).(1) 2- Abu al-Yaqzan says: Khalid bin Saeed bin Al-Aas embraced Islam before Abu Bakr as-Siddiq.(2) 3- Saad and Qas say: Abu Bakr was not the first to become a Muslim, but more than fifty people became Muslims before him.(3) 4- Zohri says: Omar converted to Islam after forty-one men and women.(4) (1): Explanation of Nahj al-Balagha 3: 188. (2): Al-Mustadrak Ali Al-Sahiheen 3: 278. (3): Muhammad bin Saad, I said to my father: Was Abu Bakr the first of you a Muslim? He said: No, and he embraced Islam more than fifty before him... The history of Tabari 1:540. (4): The History of Islam (The Prophet’s Biography) 180 - Tabaqat Ibn Saad 3: 269 - Sifat al-Safwa 1: 274.