MSO limit laws for unlabelled addable minor-closed classes

Let $\mathcal{G}$ be an addable, minor-closed class and let $\mathcal{U}\mathcal{G}$ be its corresponding collection of unlabelled graphs. Let $C_n \in_u \mathcal{U}\mathcal{C}_n$ be a uniformly random connected unlabelled graph from $\mathcal{G}$, and let $G_n \in_u \mathcal{U}\mathcal{G}_n$ be a uniformly random unlabelled graph from $\mathcal{G}$. Unlabelled MSO limit-law conjecture. The random connected graph $C_n$ obeys the $\textsc{MSO}$-zero-one law, and $G_n$ obeys the $\textsc{MSO}$-convergence law. The paper strongly expects the labelled results for addable classes to extend to the unlabelled setting, but no proof is supplied.