What sort of consequences are you thinking of? The idea that ethics can consider two options equally preferable and not care which one you take follows from the idea of an ethical utility function (even a complicated function that only exists in an abstract mathematical sense). We don’t need to assume it directly, we can go with the Archimedean property (roughly, that crossing the street can be worth a small chance of death).
What sort of consequences are you thinking of? The idea that ethics can consider two options equally preferable and not care which one you take follows from the idea of an ethical utility function (even a complicated function that only exists in an abstract mathematical sense). We don’t need to assume it directly, we can go with the Archimedean property (roughly, that crossing the street can be worth a small chance of death).