The conjecture on infinite delta-invariants of reductive groups

Let $G$ be an infinite reductive group over a field of positive characteristic, and let $G^{0}$ denote its connected component. Assume that $G^{0}$ is not a torus. Infinite delta-invariant conjecture. Then

$$\delta(G)=\infty.$$

This conjecture extends the finite-group result that the delta-invariant is finite, and asks whether every infinite reductive group with non-toral connected component has unbounded delta-invariant. Its resolution is not specified in the source.