I think the EN text of Ancestra Weapon and Lindwurm's lore dump of Six Dragon further suggest they are the world though
Perharps when Six Dragon awakened, the Providence splitted into six colors from the unified picture, hence it's became Providence of the Six. Basically, I take this as Six Dragon hold Providence in their palm and manipulate it at their will.
Though, calling them having their own Providence beyond the scope of Sky Realm doesn't too far-fetched either, considering that their spawn aka True Dragon exhibit supernatual magics beyond the scope of mortals, and Fediel can drown Ailill in complete blackness, stopping him from sustaining the storm barrier disregard of the fact that normally the barrier need to be breached first to even reach Ailill for skydwellers; and she do that while not even a single soul could even notice either her action or her presence as the Six Dragon.
It's quite literally mean SIx Dragon are beyond True Dragon, then if we factor other abilities such as Ailill capable of sinking an island by his power alone, True Dragon do capable of manipulate Providence (last time island-sinking incident happen, it's when Sandalphon snatching Primarch's wings which are directly disturb the Providence as they're tasked with preserving its balance if I recalled correctly). Put in scaling, Six Dragon (whose power completely beyond True Dragon whose power could manipulate Providence) should hold power beyonf the Providence themselves.
