We don't really need wild guessing to explain our power, is the thing. Our raw strength, while certainly formidable, isn't really that far removed from a variety of other exceptional NPC warriors, and we owe a pretty great deal of our combat prowess to the Echo and the Blessing of Light, both of which we know the source of (Hydaelyn Herself).
While it's not outside the realm of possibility that belief and prayer could empower creatures other than Primals, there's not any evidence of it in the story or lore so far that I can think of, and we'd need that evidence for it to be a viable theory I think.