The transition of Real-World Assets (RWAs) to public blockchains creates a fundamental friction between on-chain transparency and institutional confidentiality requirements. This analysis deconstructs the application of Zero-Knowledge Proofs (ZKPs) as the critical infrastructure needed to resolve this paradox. We explore how cryptographic privacy mechanisms enable full compliance with rigid regulatory frameworks (MiCA, GDPR, BaFin) while facilitating the emergence of institutional "RWA Dark Pools" and confidential atomic settlement.