I don't think that is true at all. When Frodo offered her the Ring (in the book) she said that her heart had desired just such an offer. She said she had long pondered what she would do if the Ring ever came to her. (In the movie she said something similar, though not exactly the same.) I think she wanted it very much, the power it represented. It wouldn't have been much of a test if she had not been enormously tempted.
Think about some of the others who could have claimed the Ring. When Frodo brings it to Rivendell, all that interests Elrond is how to get rid of it. Faramir said he wouldn't pick it up if he found it lying in the road (and when he discovers the Ring is actually within his reach he holds by those words). Gandalf said that if he took the Ring it would be out of pity and a desire to do good. Boromir wants to use it to save his city. Sam has a confused vision of himself doing great heroic deeds (well, he's just killed a gigantic spider, after all) and of planting gardens, bringing Mordor into bloom. In other words, Gandalf, Boromir, and Sam all think of what they might do, according to their various natures. Galadriel speaks of what she might become, and it's something she has been thinking about for a long time.
Because she has desired power from the beginning. It's the very reason she is in Middle Earth to begin with. She joined the flight of the Noldor not because she cared about the Silmarils or about waging war on Morgoth. In the Silmarillion, it is clearly stated that she longed for a realm that she might rule. By the time she actually arrived in Middle Earth, she was apparently chastened by the things that had happened along the way: the Kinslaying, the burning of the ships, the crossing of the Grinding Ice. She's seen how her own relatives react to their obsessions. So she initially stayed in Doriath, and even when she left she made no move to claim a realm for thousands of years. Eventually, however, she did just that. Though she and Celeborn ruled Lothlorien as Lord and Lady, not King and Queen, after she is offered the Ring, what is the word that pops out of her mouth? "Queen." So that temptation is still there.
That is why it is the final test she has to pass before she can return to Valinor.
I think for her the temptation of the Ring was more, not less. And that because it was, it demonstrates her strength in turning it down.