Turaev's conjecture relating Seiberg–Witten invariants and torsion

Let $X$ be a closed $3$-manifold with $b_1(X)>0$, let $o$ be a homology orientation, and let $\operatorname{Eul}(X)$ be the set of Euler structures. Turaev’s torsion defines a map $T(X;o)\colon \operatorname{Eul}(X)\to\mathbb Z$ by evaluating the appropriately normalized torsion at $0\in H_1$; when $b_1(X)=1$, this depends on the sign of $[df]$. Let $\imath\colon \operatorname{Spin}^c(X)\to\operatorname{Eul}(X)$ be the natural isomorphism. Turaev’s conjecture. The Seiberg–Witten invariant agrees with the Turaev torsion:

$$\operatorname{SW}_{X,o}=T(X;o)\circ\imath\colon \operatorname{Spin}^c(X)\to\mathbb Z.$$

This conjecture gives a combinatorial description of the Seiberg–Witten invariant in terms of Turaev torsion. The source presents it as a conjecture and does not state a resolution.