The limits of model resolution in atmospheric and oceanographic modeling necessitate the use of subgrid parametrizations to account for unresolved processes. The go-to approach is using diffusive parametrizations such as the Dynamical Smagorinsky. In this work use a Coarse-Graining technique to reveal subgrid scale dynamics to test whether or not they do behave according to the diffusive assumption. We find a highly organized and structured turbulent shear production, which leads us to question the underlying assumptions and limits of diffusive parametrizations.