Assume the Lagrangian $L$ with potential $f_{L}$ is quantitatively almost calibrated, homologous to $L_{0}$, and satisfies $(N,A)$-potential clustering. The elementary functional (45) makes sense verbatim, with no smoothness assumptions. Then $|\mathcal{S}(L)-\bar{\mathcal{S}}(L)|$ has a uniform upper bound independent of $L$.