Why does the third noble truth not include the ten fetters?

The Four Noble Truths are defined in the Dhammacakkappavattana Sutta as: > "The Noble Truth of Suffering (dukkha), monks, is this: Birth is > suffering, aging is suffering, sickness is suffering, death is > suffering, association with the unpleasant is suffering, dissociation > from the pleasant is suffering, not to receive what one desires is > suffering — in brief the five aggregates subject to grasping are > suffering. > > "The Noble Truth of the Origin (cause) of Suffering is this: It is > this craving (thirst) which produces re-becoming (rebirth) accompanied > by passionate greed, and finding fresh delight now here, and now > there, namely craving for sense pleasure, craving for existence and > craving for non-existence (self-annihilation). > > "The Noble Truth of the Cessation of Suffering is this: It is the > complete cessation of that very craving, giving it up, relinquishing > it, liberating oneself from it, and detaching oneself from it. > > "The Noble Truth of the Path Leading to the Cessation of Suffering is > this: It is the Noble Eightfold Path, and nothing else, namely: right > understanding, right thought, right speech, right action, right > livelihood, right effort, right mindfulness and right concentration. From this, it is widely assumed that to end suffering, we must end craving and that's it. However, according to SN45.179 and SN45.180 , it is not just craving that must be ended, but also the ten fetters, through the Noble Eightfold Path. > “Bhikkhus, there are these five lower fetters. What five? Identity > view, doubt, the distorted grasp of rules and vows, sensual desire, > ill will. These are the five lower fetters. This Noble Eightfold Path > is to be developed for direct knowledge of these five lower fetters, > for the full understanding of them, for their utter destruction, for > their abandoning.” > > “Bhikkhus, there are these five higher fetters. What five? Lust for > form, lust for the formless, conceit, restlessness, ignorance. These > are the five higher fetters. The Noble Eightfold Path is to be > developed for direct knowledge of these five higher fetters, for the > full understanding of them, for their utter destruction, for their > abandoning. So, why is craving singled out in the third noble truth, rather than including all of the ten fetters?