The primary function of the mempool/relay system is to enable the relay of transactions so that miners can apply Proof of Work (PoW) and includes capabilities such as storing a backlog of transactions for various purposes like Child-Pays-For-Parent (CPFP), Replace-By-Fee (RBF) strategies, fee estimation, and monitoring incoming payments.

Integrating weak blocks into the existing infrastructure would marginally increase the memory requirements for nodes, potentially by a few megabytes in worst-case scenarios. This minimal increase stems from the proposal to maintain only one or two weak blocks at any given time. It's anticipated that most, if not all, transactions contained within these weak blocks would already exist in the node's mempool, thus mitigating any significant additional memory burden.

There's a suggestion to consider the memory utilized by the weak block store as part of the maximum memory pool limit. This approach aims to manage efficiently and optimize the use of resources while accommodating the inclusion of weak blocks within the network's operation. By doing so, it ensures that the integration of weak blocks does not compromise the functional integrity and efficiency of the blockchain's transaction handling capabilities.