There is no disagreement among the Muslims regarding the affirmation of the intercession of the Prophet (May Allah bless him and his family and grant them peace) on the Day of Resurrection, and that what is meant by the Praised Station which Allah promised His Prophet (May Allah bless him and his family and grant them peace) is the accepted intercession. The disagreement concerns those who deserve it.
The Zaydiyyh Ahl al-Bayt (peace be upon them) have unanimously agreed that the intercession of the Messenger of Allah (May Allah bless him and his family and grant them peace) is specifically for the believing penitents. Through it, Allah Exalted is He raises them from one rank to a higher rank, and from one bliss to a more exalted bliss.
As for those who deserve the Fire, they have no share or portion in intercession; they abide eternally in the Fire with those who abide, and are punished with those who are punished.