[Mithalwen]

If the three were somehow "pirating" the power of the Valar then it it might be significant that those who actually wielded them had particular connection with the Valar: Círdan ever obedient to his task to wait and serve, Gandalf the Emissary, Elrond descendent of Melian and son of Earendil, Galadriel born into the light of the trees, and pupil of Melian. Save perhaps Galadriel, I cannot imagine any of them attempting to use "stolen" power, so perhaps the Valar legitimised their use (comparable to Eru's reaction to the creation of the Dwarves) or any of their power contained in the rings was not taken but given subsequent to their creation to aid their champions in the fight against Sauron. That might be a factor in the fading expected should theOne be destroyed even though Sauron hadn't. Been involved in their making. However this is no more than conjecture though there are items such as the Elessar and the Phial that seem to have power beyond that which might be conveyed by their physical makers.