A decision procedure that is indifferent to the epistemic quality of inputs cannot be intrinsically just, since justice requires getting outcomes right, not merely equal participation.

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Epistemic: "Epistemic" relates to knowledge—how we know things, what counts as knowledge, and whether we can trust what we believe to be true. It comes from the Greek word for knowledge and is used to describe questions about the reliability and validity of our beliefs and understanding. For example, "epistemic humility" means acknowledging the limits of what you can actually know for certain.
Equal participation(as used in discussions of democratic and procedural fairness): Everyone having the same opportunity or voice in a process, regardless of whether it leads to fair results.
Intrinsically just(as used in ethics and justice theory): Fair or morally right in its own nature, based on what it fundamentally is—not just because of side effects or how it makes people feel.
Justice(Utilitarian account of justice; contrasted with non-utility-based theories): A name for certain classes of moral rules which concern the essentials of human well-being more nearly than other rules for the guidance of life, carrying more absolute obligation.

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