Infinitely many minimal hypersurfaces in a prescribed homology class

Let $(M^{n+1},g)$ be a closed Riemannian manifold and let $[\Sigma_0]\in H_n(M^{n+1};\mathbb Z_2)$ be a homology class represented by a closed embedded hypersurface. Homology-class multiplicity conjecture. There are infinitely many closed embedded minimal hypersurfaces in the given homology class $[\Sigma_0]$. The conjecture strengthens Yau's conjecture by requiring all the minimal hypersurfaces to lie in one prescribed mod-$2$ homology class. The source states that it is known in the null-homology class under bumpy metrics, while the nonzero-class case is not covered by the available prescribed-mean-curvature theory.