This paper examines the effect of heterogeneity in exposures between banks on the netting efficiency under central clearing. Our network model specifies the prenetted interbank exposures as a joint stochastic process that shapes cross-correlation of asymmetric distributions. Employing OTC derivatives market data provided by the U.S. Office of the Comptroller of the Currency, we analyze how the correlation between interbank exposure distributions and the dispersion in bank sizes affect multilateral netting efficiency in the presence of a central clearing counterparty across various bank-specific resiliency and volatility parameters. Our simulation results indicate that the multilateral netting benefit under central clearing outweighs the bilateral reduction of expected exposures within an environment of systemic homogeneity in the distributions of interbank exposure dynamics. Furthermore, we find that policymakers should incentivize individual banks to enhance the resiliency and stability of their management of interbank exposures in a less homogeneous way.