The generalized Mahler-measure growth conjecture for divisor divisibility sequences

Let $G\subseteq\mathbb{G}_m^N$ be an algebraic subgroup, let ${\mathcal L}$ be a collection of finite subgroups of $\mathbb{G}_m^N(\mathbb{C})$ converging to $G$, and let $f\in\overline{\mathbb{Q}}^{(N)}$ be a Laurent polynomial with algebraic coefficients that is not identically zero on $G$. For a finite subgroup $\Lambda$, let $W_f(\Lambda)$ be the associated divisor divisibility sequence, and let ${\mathcal M}_G(f)$ be the $G$-Mahler measure.

Growth conjecture.

$$\lim_{\substack{\Lambda\in{\mathcal L}\\\|\Lambda\|\to\infty}}\frac{1}{\|\Lambda\|}\log|W_f(\Lambda)|=\log{\mathcal M}_G(f).$$

This is the general growth formulation, extending the full-torus case to collections of finite subgroups equidistributing on an algebraic subtorus. The source gives no resolution status.