The topological cusp forms conjecture for Mathieu Moonshine

Let $\mathrm{Tcf}^\bullet$ be the spectrum of topological cusp forms, and let $[\overline{V^{f\natural}}]\nu$ denote the $\mathrm M_{24}$-equivariant class refining the nonequivariant cusp-form class $\{24\Delta\}\nu=0\in\mathrm{Tmf}^{-27}(\mathrm{pt})$. Topological cusp forms conjecture. The class is $\mathrm M_{24}$-equivariantly nullhomotopic in $\mathrm{Tcf}^\bullet$:

$$[\overline{V^{f\natural}}]\nu\simeq 0.$$

This conjecture is proposed to encode the optimal-growth, or mock-cusp-form, property of Mathieu Moonshine. No proof or disproof is supplied.