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The wiki for Nenya says of the 3 elvish rings,
Their existence was hidden from Sauron, so they were untouched by his evil.
After the destruction of the One Ring and the defeat of Sauron, [Nenya's] power faded along with the other Rings of Power.
The first quote states that they are not connected. The second states that they are connected. If the 3 rings were distinct and untainted by Sauron and his ring, why would their power fade after the destruction of the One Ring?