Schramm's locality conjecture for random-cluster models

Let $q>0$ and let $(\mathbb{G}_n)$ be a sequence of infinite transitive graphs converging locally to an infinite transitive graph $\mathbb{G}$. For an infinite transitive graph $\mathbb{H}$, write $p_c(\mathbb{H},q)$ for the infimum of the edge-weight parameters $p\in[0,1]$ such that the random-cluster measure $\phi_{\mathbb{H},p,q}^1$ assigns positive probability to the event that the origin is connected to infinity. Schramm's conjecture. If $p_c(\mathbb{G}_n,q)<1$ for all $n$, then

$$\lim_{n\rightarrow\infty}p_c(\mathbb{G}_n,q)=p_c(\mathbb{G},q).$$

This conjecture asserts locality of the critical point for random-cluster models under local convergence of transitive graphs. The supplied text does not state a resolution, so its status remains open.