Doubly metric higher-dimensional Hausdorff-measure conjecture

Let $m,d\geq1$, let $\Psi:\mathbb Z^m\to(0,\infty)$ be arbitrary, and let $f$ be a dimension function such that the source's series

$$\sum_{\mathbf q\in\mathbb Z^m}|\mathbf q|^{md}\Psi^{-md+1}(\mathbf q)f\left(\frac{\Psi(\mathbf q)}{|\mathbf q|}\right)$$

diverges and $x\mapsto x^{-md+1}f(x)$ is monotonically increasing. Define $F(x)=x^{md}f(x)$ and let $\WW^{md}_{\Psi}$ be the set of $(\bftheta,X)$ with $X\in\WW^{md}_{\Psi,\bftheta}$. Doubly metric higher-dimensional Hausdorff-measure conjecture. Then

$$\HH^F(\WW^{md}_{\Psi}\cap\I^{2md})=\infty.$$

This conjecture asserts that the monotonicity condition on $\Psi$ can be removed in the doubly metric setting. It is stated as an open problem following the singly metric complementary conjecture.