Let $L$ be an ample line bundle on $X$ and $\mathcal{L}\in\Pic(\mathcal{X})$ an extension of $L$ to an SNC model $\mathcal{X}$. Let $\theta\in\mathcal{Z}^{1,1}(X)$ be the curvature form of the corresponding model metric on $L$. For $m\gg 1$ let $\mathfrak{a}_{m}\subset\mathcal{O}_{\mathcal{X}}$ be the (vertical) base-ideal of $m\mathcal{L}$ and set $\varphi_{m}:=\tfrac{1}{m}\log|\mathfrak{a}_{m}|$. Then $\varphi_{m}$ is a $\theta$-psh model function and $\varphi_{m}\to P_{\theta}(0)$ uniformly on $X$ as $m\to\infty$.