“X is the right thing for TheAncientGeek to do” is synonymous with “X is the right thing for TheAncientGeek to do according to his (reflectively consistent) values”. You may not want him to act in accordance with his values, but that doesn’t change the fact that he should—much like in the standard analysis of the prisoner’s dilemma, each prisoner wants the other to cooperate, but has to admit that each of them should defect.
“X is the right thing for TheAncientGeek to do” is synonymous with “X is the right thing for TheAncientGeek to do according to his (reflectively consistent) values”. You may not want him to act in accordance with his values, but that doesn’t change the fact that he should—much like in the standard analysis of the prisoner’s dilemma, each prisoner wants the other to cooperate, but has to admit that each of them should defect.