Ringel–Samokhin decomposition conjecture for moduli spaces of rank-two bundles

Let $C$ be a smooth projective curve of genus $g\geq 2$, let ${\mathcal L}$ be the fixed determinant, and let ${\moduli_C(2,\mathcal L)}$ be the moduli space of rank-two bundles with determinant ${\mathcal L}$. Ringel–Samokhin decomposition conjecture. There exists a Ringel–Samokhin-type semiorthogonal decomposition

$$D^b\operatorname{Coh}({\moduli_C(2,\mathcal L)})=\langle D^b\operatorname{Coh}(\mathrm{pt}),D^b\operatorname{Coh}(C),\ldots,D^b\operatorname{Coh}(\operatorname{Sym}^{g-2}C),D^b\operatorname{Coh}(\operatorname{Sym}^{g-1}C),D^b\operatorname{Coh}(\operatorname{Sym}^{g-2}C),\ldots,D^b\operatorname{Coh}(C),D^b\operatorname{Coh}(\mathrm{pt})\rangle$$

with anti-equivalence given by $\mathbf{R}\!\operatorname{Hom}(-,{\mathcal O}_{{\moduli_C(2,\mathcal L)}}(1))$. This is a proposed refinement imposing duality symmetry on the expected decomposition; the source gives no proof or resolution.