Levcovitz's equivalence conjecture for hypergraph index and divergence

Let $W_\Gamma$ be a right-angled Coxeter group, and let $n$ denote its hypergraph index. Let thickness of order $n$ and divergence $x^{n+1}$ have their standard meanings for the group. Levcovitz's equivalence conjecture. The notions of hypergraph index $n$, thickness of order $n$, and divergence $x^{n+1}$ are equivalent.

The surrounding discussion presents this as a proposed relationship among computable hypergraph index, thickness, and divergence for right-angled Coxeter groups. The supplied text gives no resolution status, so the conjecture is retained as open.