Direct-sum conjecture for transversal q-matroids

Let $M_1$ and $M_2$ be transversal $q$-matroids with presentations $\mathcal{X}_1$ and $\mathcal{X}_2$. Their direct sum is denoted by $M_1 ame{oplus}M_2$, and the corresponding combined presentation is denoted by $\mathcal{X}_1 ame{oplus}\mathcal{X}_2$.

Direct-sum conjecture for transversal q-matroids. The direct sum $M_1\oplus M_2$ is a transversal $q$-matroid with presentation $\mathcal{X}_1\oplus\mathcal{X}_2$.

The conjecture would extend the established coordinate case to arbitrary transversal $q$-matroids and provide an analogous construction of presentations under direct sums. Its resolution is not supplied in the source.