You can certainly get anthropic uncertainty in a universe that allows you to be duplicated. In a universe that duplicates, and the duplicates can never interact, we would see the appearance of randomness. Mathematically, randomness is defined in terms of the set of all possibilities.
An ontology that allows universes to be intrinsically random seems well defined. However, it can be considered as a syntactic shortcut for describing universes that are anthropically random.
You can certainly get anthropic uncertainty in a universe that allows you to be duplicated. In a universe that duplicates, and the duplicates can never interact, we would see the appearance of randomness. Mathematically, randomness is defined in terms of the set of all possibilities.
An ontology that allows universes to be intrinsically random seems well defined. However, it can be considered as a syntactic shortcut for describing universes that are anthropically random.