In recent years, egalitarian political philosophy has been increasingly concerned with relational rather than distributive matters. Relational egalitarians consider the social relations in which citizens stand to be the primary measure and concern of a just society, rather than the distribution of resources, welfare, powers and opportunities. This paper draws upon recent scholarship by Kristin Voigt, Kasper Lippert-Rasmussen and others to develop connections between relational and distributional aspects of equality in the context of prioritisation of healthcare resources. Drawing upon evidence of inequities in health outcomes and healthcare access from Aotearoa New Zealand, I show how relational inequalities can lead to distributive inequalities; distributive inequalities can perpetuate relational inequalities and state failures to address distributive inequalities can compound relational inequalities. I argue that justice requires attention to both the distributive and relational aspects of healthcare prioritisation and point to the value of procedurally just prioritisation processes for maintaining relational equality when distributions can be received as relationally unjust.