Abyazi Sani–Alishahi conjecture for deleted Kneser hypergraphs

Let $A\subset[n]$, and let $\mathrm{KG}^r_A(n,k)$ be the subhypergraph of the $r$-uniform Kneser hypergraph induced by the $k$-subsets $\sigma\subset[n]$ with $\sigma\not\subset A$. Abyazi Sani–Alishahi's conjecture. If $n\ge 2rk$, then

$$\chi\bigl(\mathrm{KG}^r_A(n,k)\bigr)=\left\lceil\frac{n-\max\{r(k-1),|A|\}}{r-1}\right\rceil.$$

The source identifies this as a conjecture of Abyazi Sani and Alishahi and does not state a general resolution.