Affine quantum Schur–Weyl reciprocity over arbitrary fields

Let $\mathbb F$ be any field, and let affine quantum Schur–Weyl reciprocity mean the mutual centralizer property for the affine Hecke and affine quantum Schur algebra actions on the relevant tensor space over $\mathbb F$. Affine quantum Schur–Weyl reciprocity conjecture. The affine quantum Schur–Weyl reciprocity over any field $\mathbb F$ holds. This is proposed as a further expectation after the integral-form conjecture and would extend the non-root-of-unity result to arbitrary characteristics and roots of unity; the source gives no resolution.