Access to kidney transplantation in Australia: does equal mean equitable?

Sociodemographic gradients have been widely reported in end-stage renal disease treatment, as in the general population. So should we be relieved by the report from Grace et al. of no such gradient in access to deceased donor kidney transplantation in Australia? Although the authors have adjusted for the 'competing risk' of living kidney donor transplantation, which is higher in higher socioeconomic groups, it feels a little early to be reassured.