Finiteness conjecture for Homs in isotropic motivic categories

Let $k$ be a flexible field, and let $DM(k/k;\mathbb{F}_p)$ be the isotropic motivic category. Consider compact objects of this category and their morphism groups, written as Homs.

Finiteness conjecture for isotropic motivic Homs. Homs between compact objects of $DM(k/k;\mathbb{F}_p)$ are finite groups.

The conjecture is motivated by the preceding finiteness result for Homs in the compact tensor-additive subcategory of isotropic Chow motives. The supplied text gives no resolution of the conjecture.