Universal-model conjecture for Frobenius-group gain-graph matroid classes

Let $\Gamma$ be a Frobenius group with Frobenius kernel $\Gamma_1$, and let $\mathcal{A}$ be a set of Frobenius complements. A sequence of universal models for a class $\mathcal{M}$ is a sequence of simple matroids $M_2,M_3,\ldots$ in $\mathcal{M}$ such that, for each $r\geq 2$, $M_r$ has rank $r$ and every simple rank-$r$ matroid in $\mathcal{M}$ is a restriction of $M_r$. Universal-model conjecture. The class $\mathcal{M}(\Gamma,\Gamma_1,\mathcal{A})$ has a sequence of universal models. Universal models are known for the corresponding frame and lifted-graphic classes for finite groups; this conjecture proposes the analogous result for Frobenius groups.