Mod-p vanishing conjecture for the relative quantum connection

Let $p$ be a prime satisfying the condition denoted by, let $n$ and $f$ be the parameters appearing there, and let $\nabla_{u\partial_q}$ be the relative quantum connection on $\mathit{SH}^*_{u,q}(M,D;\mathbb{Z})$. The expression $f(\nabla_{u\partial_q}^p)$ is the polynomial in the $p$-th power of this connection appearing in the source.

Mod-$p$ vanishing conjecture. Assume $p$ is chosen so that holds. Then

$$q^{np}f(\nabla_{u\partial_q}^p):\mathit{SH}^*_{u,q}(M,D;\mathbb{Z})\longrightarrow\mathit{SH}^*_{u,q}(M,D;\mathbb{Z})$$

is zero modulo $p$. This is proposed as a common strengthening of two preceding torsion statements. The supplied text does not establish the strengthening, so it remains open.