Silverman's dynamical Lang conjecture for canonical heights

Let $d\geq 2$, let $f:\mathbb{P}^1\to\mathbb{P}^1$ be a degree-$d$ dynamical system, let $h_{\mathcal{M}}$ be a height on the moduli space $\mathcal{M}_d$ of degree-$d$ dynamical systems, and let $Q$ be a wandering point of $f$. Silverman's dynamical Lang conjecture. There is a constant $M(d)>0$ depending only on $d$ such that

$$\hat h_f(Q)\geq M(d)h_{\mathcal{M}}(f).$$

The conjecture seeks a uniform lower bound for the canonical height of wandering points in terms of the moduli height of the dynamical system, preventing small canonical heights from arising merely through conjugation. Its resolution status is not specified in the source.