Conjecture on maximal compact quotients of affine-line fundamental groups

Let $K={\bf F}_q(T)$, let $G/K$ be an isotropic, semisimple, simply-connected algebraic group, and let $Z$ be its center. Let ${\bf A}^{\mathrm{fin}}_K$ denote the finite adeles of $K$. The maximal compact quotient conjecture. Every maximal compact subgroup of

$$G({\bf A}^{\mathrm{fin}}_K)/Z({\bf F}_q)$$

occur as a continuous quotient of the fundamental group of the affine line over $C$. The conjecture proposes a broad generalization of the preceding constructions and results on Galois groups of coverings of the affine line; the source presents it as a conjecture following work of Madhav Nori and the paper's result, but supplies no resolution evidence.