Status inequalities seem to play a fairly big role in creating inequalities in health. This article assumes that there can be good reasons to fight status inequalities in order to reduce inequalities in health. It examines whether the neorepublican ideal of non-dominance does a better job as a theoretical foil for this as compared to a liberal notion of non-interference. The article concludes that there is a prima facie case for incorporating non-dominance into our thinking about public health, but that it needs to go hand in hand with a more traditional liberal ideal of non-interference.