I defend the widely-held view that morally worthy action need not be motivated by a desire to promote rightness as such. Some have recently come to reject this view, arguing that desires for rightness as such are necessary for avoiding a certain kind of luck thought incompatible with morally worthy action. I show that those who defend desires for rightness as such on the basis of this argument misunderstand the relationship between moral worth and the kind of luck that their argument employs. Consequently, the argument provides no reason to doubt the popular view that a desire for rightness as such is no part of virtue. I conclude by suggesting that a family of worries about merely accidentally right action presuppose one side of the recent debate about objectivism and perspectivism about moral rightness.