Precedence asks about overall religious excellence. Caliphal succession concerns who led the Muslim community after the Prophet ﷺ and on what legal and historical grounds.
Both sequences are presented as Abū Bakr, ʿUmar, ʿUthmān and ʿAlī, but the proof for one should not simply replace the proof for every detail of the other. Allegiance, consultation and communal recognition concern governance; judgments about inner merit and reward may involve a different evidentiary question.