The analogue of the strong Viterbo conjecture for systolically convex domains

Let $(T^*\mathbb T^2,\omega_{\rm can})$ be the cotangent bundle of the two-torus, and let $\mathcal S$ denote the class of systolically convex domains defined in the source. A symplectic capacity is ball-normalized when it is normalized on symplectic balls. The analogue of the strong Viterbo conjecture. All ball-normalized capacities coincide for elements in $\mathcal S$. The conjecture is proposed as an analogue of the strong Viterbo conjecture for systolically convex domains in $T^*\mathbb T^2$. The source establishes coincidence in several subclasses, while also giving an example outside $\mathcal S$ where two ball-normalized capacities do not coincide; the general claim remains open.