The skeletal measure $\mu_{\psi^{\#}}$ is the image of the measure $\mu_{{\mathcal{L}}^{\#}}$ under the embedding $\Delta({\mathcal{L}})\hookrightarrow X^{\mathrm{an}}$. We view it as a positive measure on $X^{\mathrm{an}}$, supported on the skeleton $\operatorname{Sk}(\psi^{\#}):=\operatorname{Sk}(\phi_{\mathcal{L}})$.