Strong Delta-conjecture for rational boundary rays

Let $X$ be the blowup of $\mathbb{P}^2$ at $n$ sufficiently general points, and let $\mathcal{Q}_n$ and $\Delta_n^{\preccurlyeq}$ be as defined in the source. Strong Delta-conjecture. If $n>10$, every rational ray in $\partial\mathcal{Q}_n\cap\Delta_n^{\preccurlyeq}$ is non-effective. If $n=10$, a rational ray in

$$\mathcal{Q}_{10}\cap\Delta_{10}^{\preccurlyeq}=\mathcal{Q}_{10}^{\succcurlyeq}$$

is non-effective unless it is generated by a Cremona transform of the curve with class $(3;1^9,0)$. This stronger conjecture implies the Delta-conjecture and concerns the effective boundary of the Mori cone; it is open in the source.