Critical percolation phase-transition conjecture for supercritical random planar maps

Let $Q\in(0,2)$ and let $p_c(Q)\in(0,1)$ be the critical probability from the non-trivial percolation transition conjecture. Consider critical site percolation on $\mathcal M_k$ with open boundary condition. Critical percolation connectivity conjecture. If $Q>\sqrt{91/24}$, equivalently ${\mathbf{c}}>95/4$, then almost surely there is no infinite open cluster. If $Q<\sqrt{91/24}$, equivalently ${\mathbf{c}}<95/4$, then with positive probability the open cluster containing $\partial\mathcal M_k$ is infinite and has uncountably many ends. This conjecture is motivated by the expected CLE$_6$ scaling limit and the Hausdorff dimension $91/48$ of the CLE$_6$ gasket; the critical case $Q=\sqrt{91/24}$ is not specified.