Combinatorial Ricci flow with surgery convergence conjecture

Let $M$ be an oriented compact $3$-manifold with boundary, no component of which is a $2$-sphere. Suppose that $M$ is irreducible, atoroidal and not Seifert fibred. A combinatorial Ricci flow with surgery is the combinatorial Ricci flow continued after finitely many changes of ideal triangulation by Pachner moves when finite-time degenerations occur. Combinatorial Ricci flow with surgery convergence conjecture. After a finite number of surgeries, the combinatorial Ricci flow will converge. Thus a hyperbolic structure, and meanwhile, a geometric ideal triangulation on $M$ are obtained.

If true, this would turn the existence of a hyperbolic structure and geometric ideal triangulation into a finite surgery-and-flow procedure for manifolds satisfying the stated topological hypotheses. The source presents this as a conjecture and gives no resolution.