The Earth System Models utilized to predict physical and biogeochemical responses under climate change make use of mesoscale eddy parameterizations, due to the computing power constraint for mesoscale-eddy resolving high resolution “truth” models. Such non-eddy resolving coarse resolution models with existing mesoscale-eddy parameterizations have been found to have different physical responses, which has consequence for the resulting biogeochemical responses. Here, we examine the advantages and imperfections of a recent proposal for mesoscale eddy parameterization in a simplified physical model coupled with a biogeochemistry model. The realization points out that there can be a “better” biogeochemical response with the conventional mesoscale eddy parameterization but with inconsistency in ocean physics displayed in the model truth, and there are subtleties of the updated parameterization and the associated biogeochemical response. This is calling for utilizing combination of metrics when judging a parameterization, and highlights some limitations of coarse resolution models.