Operator biflatness of Fourier algebras

Let $G$ be a locally compact group and let ${\mathrm{A}(G)}$ denote its Fourier algebra. Operator biflatness conjecture. ${\mathrm{A}(G)}$ is always operator biflat. This would extend the known operator amenability characterization, which says that ${\mathrm{A}(G)}$ is operator amenable exactly when $G$ is amenable; the status of operator biflatness itself is not resolved in the supplied text.