actually, there's a few Claymores who were:
Priscilla as the one, lol. Albiet it's likely she was brainwashed by Rubel into that "Pro-Organization+Order+Justice BS" she had.
Rafaela was the next one, except she was only loyal due to Rubel's blackmail of her via information ABOUT her older sister AO Luciela (I theorize Rubel told her it was information on how to save/de-awaken AO Luciela, grins).
Irene was actually quite loyal to the Organization too. Dutifully accepting the orders to execute Teresa without any hesitation (except via their chance of success in killing Teresa, lol).
Ophelia was "loyal" to the Organizations actual (and dark) motives (they surely knew what Ophelia was doing, and secretly smiled, as we know the Organization even cares less about their own Claymores and the humans, than Ophelia does, so it's not like Ophelia's actions would bother them, and as I sad, Ophelia's actions probably pleased them with smiles, hehe).
any Claymore who wasn't at Pieta WERE loyal to the Organization (or at least to the BCs' knowledge anyways)
actually, this brings up a good point... Miria and the other 23 non-loyal Claymores, failed to hide their "anti-Organizational" views... as somehow the Org DID know that these 24 non-loyal Claymore were indeed non-loyal, and thus sent them to their death in the Pieta Battle.
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and last of all is....
TERESA !!!!!
She KNEW the bad stuff the Organization was doing, yet she remained extremely "loyal" (until she met Clare of course), "Orsay, tell me what Yoma to kill and I kill it for you, NY, AB, or AO, just point and I'll kill it for you!"
I theorize that (obviously) Teresa wasn't loyal to the Org, but that she was so dead and lifeless, miserable and in despair ("extreme depression"), she didn't give a damn about anything, not what the Org was doing, nor anything, she was a goddess of power who didn't want to be a goddess of power, she jsut wanted to be a normal human again, so to pass the days by in her deadness, her lifelessness, her despair, her extreme depression, she did the "jobs" the Org gave her for that reason alone, to pass the days by, as she had no interest in anything no interest or goals in life.