The instanton Poincaré conjecture

Let $Y$ be a connected, closed, oriented $3$-manifold, and let $I^\sharp(Y;\mathbb{F}_2)$ denote its framed instanton homology over the field with two elements. Instanton Poincaré conjecture. The $3$-sphere $S^3$ is the only such manifold satisfying

$$\dim I^\sharp(Y;\mathbb{F}_2)=1.$$

This is proposed as an instanton analogue of the Poincaré conjecture, motivated by the fact that the framed instanton homology of the Poincaré sphere has $2$-torsion over the integers. The supplied text does not state whether this conjecture has been resolved.