Are the descendants of the Prophet, peace be upon him, in every age considered part of the Household (Ahl al-Bayt) mentioned in the Ibrahimic Prayer?

All those from the Household of the Prophet, peace and blessings be upon him, whether from his progeny or his relatives among Banu Hashim, are included in the term "his household." Thus, the descendants of the Messenger, peace and blessings be upon him, are the first to be encompassed by the generality of these mentioned prayers. Furthermore, the rulings pertaining to them remain, such as the prohibition of them taking zakat, as well as their veneration and the recognition of their right and virtue, as long as they are Muslims.