Torsion-vanishing conjecture for weak Langlands–Shahidi parameters

Let $\bb G$ be a connected reductive group with Shimura datum $(\bb G,\bb X)$, let $\msf G$ be its relevant local base change, let $\mdc K^p$ be the prime-to-$p$ level, and let $\phi\in\Phi^\sems(\msf G;\ovl{\bb F_\ell})$ be a semisimple toral $L$-parameter of weakly Langlands--Shahidi type. Hamann–Lee's torsion-vanishing conjecture. The complexes

$$\bx R\Gamma_c(\mcl S(\bb G,\bb X)_{\mdc K^p,\bb C_p},\ovl{\bb F_\ell})_\phi$$

and

$$\bx R\Gamma(\mcl S(\bb G,\bb X)_{\mdc K^p,\bb C_p},\ovl{\bb F_\ell})_\phi$$

are concentrated respectively in degrees $0\leq i\leq\dim_{\bb C}(\bb X)$ and $\dim_{\bb C}(\bb X)\leq i\leq2\dim_{\bb C}(\bb X)$. Hamann and Lee formulate this as a torsion-vanishing prediction for Shimura varieties localized at weak Langlands--Shahidi parameters; the source gives no resolution.