User blog comment:Njalm2/Direction of the Coven/@comment-18812574-20161201182409/@comment-3403804-20161201222457

Could be, although in my mind their desire to gather the Soul Fragments would still remain. They're objects of power as surely as any magical object, and essential to ascertain dominance over Soul Societies future.

Ultimately, the Coven recognizes that the lack of a Soul King poses a dire issue for the stability of the spiritual realms, they just want to ensure that the new Soul King is sympathetic to their cause and will reinforce their vision.