Small-intensity face-count conjecture for hyperbolic Poisson-Voronoi percolation

For each dimension $d$, consider Poisson-Voronoi percolation on $d$-dimensional hyperbolic space ${\mathbb H}^d$, with intensity $bb$, and let the typical cell be the typical Poisson-Voronoi cell. Let its $(d-1)$-face count be the number of its $(d-1)$-dimensional faces. Small-intensity face-count conjecture. For every $d$, as the intensity $bb\searrow 0$, the critical value is asymptotically equal to the reciprocal of the expected number of $(d-1)$-faces of the typical cell. The authors expect the planar small-intensity result to generalize to all dimensions, while noting that the conjecture might be proved or disproved without determining the expected face count precisely.