Is the lineage of Abu Bakr Al-Siddiq considered superior to that of Ali and Fatimah, meaning the lineage of Al-Hasan and Al-Husayn, given that Abu Bakr was the best of the Companions after the Prophet's death and all his sons passed away?

The descendants of Fatimah (may Allah be pleased with her) are the grandchildren of the Prophet (peace be upon him) and part of his progeny, as explicitly stated in the Quran and Sunnah. The Prophet (peace be upon him) called Ali, Fatimah, Hasan, and Husayn when the verse of Mubahala was revealed: "Say, 'Come, let us call our sons and your sons'" (Quran 3:61). He also said concerning Hasan, "Indeed, this son of mine is a master." Muslims have unanimously agreed that the children of Fatimah are included in the progeny of the Prophet (peace be upon him).