For the same reason why the Phial did not shine in Mount Doom.
If Galadriel had only used her power, not Nenya's, the Phial could have, at least, comforted Sam. If it was only Galadriel's work, her power would have had some kind of influence on Sam, even at Orodruin.
But the Phial was pale and cold, an image of Nenya dominated by the One Ring.
Besides, since Nenya boosted Galadriel's power, and knowing the type of mission that both Frodo and Sam had ahead, she would have made her best when creating the Phial. Meaning: using Nenya to improve her creation, the Phial.
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"In place of a Dark Lord you will have a Queen! Not dark but beatiful and terrible as the Dawn! Treacherous as the sea! Stronger than the foundations of the Earth! All shall love me and despair!"
--- Galadriel when tempted by the One Ring.
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