The degree of the dormant operatic locus

Let $X$ be a smooth, projective curve of genus $g\ge 2$ over an algebraically closed field of characteristic $p>0$. I provide a conjectural formula for the degree of the scheme of dormant $\mathrm{P}\mathrm{G}\mathrm{L}(r)$-opers on $X$ where $r\ge 2$ (I assume that $p$ is greater than an explicit constant depending on $g,r$). For $r=2$ a dormant $\mathrm{P}\mathrm{G}\mathrm{L}(2)$-oper is a dormant indigenous bundle on $X$ in the sense of Shinichi Mochuzki (and his work provides a formula only for $g=2,r=2,p\ge 5$, from a different point of view). Recently Yasuhiro Wakabayashi has shown that my conjectural formula holds for $X$ generic, $r\ge 2$ and $p$ large.