Isomorphism between sutured monopole and sutured Floer contact invariants

Let $(M,\Gamma,\xi)$ be a sutured contact manifold, and let $\psi(M,\Gamma,\xi)\in\underline{SHM}(-M,-\Gamma)$ and $EH(M,\Gamma,\xi)\in SFH(-M,-\Gamma)$ denote the monopole Floer and sutured Floer contact invariants, respectively. Let $\mathcal{R}$ be the coefficient ring used for sutured monopole Floer homology. Contact-invariant comparison conjecture. There exists an isomorphism

$$\underline{SHM}(-M,-\Gamma)\longrightarrow SFH(-M,-\Gamma)\otimes\mathcal{R}$$

which sends $\psi(M,\Gamma,\xi)$ to $EH(M,\Gamma,\xi)\otimes 1$. Such an isomorphism would identify the monopole and sutured Floer contact invariants and provide the anticipated agreement between the two contact theories. The source presents this as a future goal and gives no evidence of resolution.