Multiplicity-one support for area Siegel–Veech constants of quadratic-differential strata

Let $\hat\Pi_{4g-4}$ be the set of partitions of $4g-4$ with parts in $\{-1,0,1,2,\dots\}$ and at most $\log(g)$ entries equal to $-1$. For a stratum ${\mathcal Q}(d_1,\dots,d_n)$ with $(d_1,\dots,d_n)\in\hat\Pi_{4g-4}$, let $c_{\mathit{area}}({\mathcal Q}(d_1,\dots,d_n))$ be its area Siegel–Veech constant. For $d_i,d_j\geq1$ with $i\neq j$ and $\{d_i,d_j\}\subset\{d_1,\dots,d_n\}$, and for $a_1,a_2\geq0$ satisfying $a_1+a_2\geq3$ and $a_1+a_2+2\in\{d_1,\dots,d_n\}$, denote the relevant configurations by $\mathcal C_{b,\mathrm I}(d_i,d_j)$ and $\mathcal C_{b,\mathrm{II}}(a_1,a_2)$. Multiplicity-one support conjecture. For all such strata, the Siegel–Veech constant is asymptotically supported on the configurations $\mathcal C_{b,\mathrm I}(d_i,d_j)$ and $\mathcal C_{b,\mathrm{II}}(a_1,a_2)$. The statement concerns the asymptotic contribution of these configurations and is presented without a resolution in the supplied text.