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The biggest reason Cass is the only natural option as heir to The Batman comes from the fact that every other character’s growth relies on them at some point either removing themselves somewhat or completely leaving the Bat symbol behind. Cassandra is the outlier whose found a reason to live on as that same symbol.
We can argue day and night who the best vigilante, detective, fighter, hero, strategist, or whatever is but none of that changes who can survive being the symbol without losing themselves in the process of following Batman’s footsteps.