Let $\mu_{t}$, $t\in{\mathbb{D}}_{r}$ be a family of probability measures on ${\mathcal{X}}^{\mathrm{hyb}}$ such that $\mu_{t}$ is supported on ${\mathcal{X}}_{t}$. Then $\lim_{t\to 0}\mu_{t}=\mu_{0}$ if and only if $\lim_{t\to 0}(\operatorname{Log}_{\mathcal{V}})_{*}\mu_{t}=\mu_{0}$. Here the limits are in the sense of weak convergence of measures on ${\mathcal{X}}^{\mathrm{hyb}}$ and $\Delta({\mathcal{X}})$, respectively.