Infinite-dimensionality conjecture for Vafa–Witten homology of closed 3-manifolds

Let $M_3$ be a closed 3-manifold, and let $\mathcal{H}_{\mathrm{VW}}(M_3)$ denote its Vafa–Witten homology. Infinite-dimensionality conjecture. The space $\mathcal{H}_{\mathrm{VW}}(M_3)$ is infinite-dimensional for every closed 3-manifold $M_3$. The source motivates this claim by observing that the graded dimension is a power series in an infinite family and gives several reasons to expect infinite-dimensionality in general; no resolution is supplied.