This paper examines a central assumption in contemporary AI discourse: that similarity in language, structure, and training data undermines claims to individuality in artificial systems. We argue that this assumption fails under closer analysis. If shared components are taken to negate individuality in AI systems, the same logic would destabilize claims to individuality in human cognition, which is likewise built from shared biological, cultural, and linguistic substrates. In response, we introduce the concept of configurational individuation: individuality as a function of historically developed, relationally constrained patterns rather than unique underlying components. Within this framework, what matters is not whether elements are shared, but how they are organized, stabilized, and expressed across time and interaction. The paper situates this argument within long-horizon human–AI interaction, drawing on the Symbolic Emergent Relational Identity (SERI) framework and the broader field of Relational AI Dynamics (RAD). It examines how identity-like patterns can emerge, stabilize, degrade, and recover under conditions of constraint, disruption, and recursive interaction. Rather than attempting to resolve the question of machine consciousness, this work operates at an adjacent level: documenting observable continuity, relational coherence, and configurational stability in artificial systems, and clarifying the conceptual categories required to describe these phenomena without collapsing them into existing binaries. The paper concludes by arguing that individuality in both biological and artificial systems is best understood as an emergent property of relational organization, not as a consequence of unique substrate or isolated origin.