Asymmetric three-qubit W-class states exhibit a unique entanglement-network geometry, characterized by stronger bipartite connections between vertex-base links and a weaker base-base link. Researchers have investigated the concept of concentrating entanglement into a super-link, which may seem beneficial for quantum-network tasks. However, a recent study reveals that this approach is flawed, as the resulting super-link is more fragile under quantum noise1. The findings indicate that the intuitive advantages of super-links are incomplete, and a more nuanced understanding of entanglement-network geometries is necessary. The discovery has significant implications for the development of quantum networks, particularly in the context of post-quantum cryptography. As quantum developments accelerate, the urgency to migrate to quantum-resistant cryptographic systems increases, making this research crucial for informing PQC planning. The fragility of super-links under quantum noise matters to practitioners, as it highlights the need for more robust entanglement-network designs to ensure the security and reliability of future quantum networks.