Wang–Wu's two-ends Furstenberg conjecture

Let $\delta\in(0,1)$. Let $(L,Y)_\delta$ be a set of directional $\delta$-separated lines in $\mathbb{R}^n$ with an $(\varepsilon_1,\varepsilon_2,C_Y)$-two-ends, $\lambda$-dense shading at scale $\delta$. Wang–Wu's two-ends Furstenberg conjecture. For any $\varepsilon>0$, there is $c_\varepsilon$, also depending on $\varepsilon_1$, $\varepsilon_2$ and $C_Y$, such that

$$\left|\bigcup_{\ell\in L}Y(\ell)\right|\geq c_\varepsilon\delta^{\varepsilon}\delta^{O(\varepsilon_1)}\lambda^{\frac{n-1}{2}}\sum_{\ell\in L}|Y(\ell)|.$$

This conjecture is attributed to Wang and Wu and concerns lower bounds for unions of shaded, directionally separated lines; the supplied text gives no evidence that it has been resolved.