Non‐intersection of appropriately defined Generalized Lorenz (GL) curves is equivalent to a unanimous ranking of distributions of ordinal data by all Cowell and Flachaire (Economica, 2017) indices of inequality and by a new index based on GL curve areas. Comparisons of life satisfaction distributions for six countries reveal a substantial number of unanimous rankings. The GL dominance criteria are compared with other criteria including the dual‐H dominance criteria of Gravel, Magdalou, and Moyes (Economic Theory, 2020).