Lück's integral torsion conjecture for residually finite 2-acyclic groups

Let $G$) be an infinite residually finite $2$-acyclic group of type $VF$. Write $\rho^{(2)}(G)$ for its $2$-torsion and $\rho^\mathbb{Z}(G)$ for its integral torsion. Lück's conjecture. One has

$$\rho^{(2)}(G)=\rho^\mathbb{Z}(G).$$

This conjecture predicts equality between the analytic $2$-torsion and the integral torsion defined through normalized torsion homology growth along Farber sequences. The paper verifies it for free-by-cyclic groups with polynomially growing monodromy, but the general statement remains open.