Let $\mathcal{X}$ be an SNC model and pick $\mathcal{L}\in\Pic(\mathcal{X})$ such that $L:=\mathcal{L}|_{\mathcal{X}_{K}}$ is ample. Assume that the model metric $h_{\mathcal{L}}$ is a pointwise limit over $X^{\mathrm{div}}$ of semipositive model metrics on $L$. Then $h_{\mathcal{L}}$ itself is semipositive, i.e. $\mathcal{L}$ is nef.