Isotropic Chow groups conjecture over flexible fields

Let $k$ be a field, and let $\operatorname{Ch}^*_{k/k}$ denote the isotropic Chow groups with $\mathbb{F}_p$-coefficients, obtained from Chow groups by quotienting by classes coming from $p$-anisotropic varieties. Let $\operatorname{Ch}^*_{Num}$ denote the corresponding numerical Chow groups. Isotropic Chow groups conjecture. If $k$ is flexible, then

$$\operatorname{Ch}^*_{k/k}=\operatorname{Ch}^*_{Num}.$$

This is the central conjecture concerning pure isotropic motives and predicts that, over flexible fields, isotropic cycles are exactly the numerically nontrivial cycles. The source gives no resolution status.