Adapted Masur–Veech volume asymptotics conjecture for odd strata

Let $M\in{\mathbb Z}_+$ be fixed. For every $0\leq p\leq M$ and every odd positive partition ${\underline{k}}$ of $4g-4+p$, write its parts as $\kappa_1,\dots,\kappa_n$. Adapted volume asymptotics conjecture.

$$\operatorname{Vol}\mathcal{Q}({\underline{k}},-1^p)=\frac{4}{\pi}\prod_{i=1}^n\frac{2^{\kappa_i}}{\kappa_i}(1+\varepsilon(p,{\underline{k}})),$$

where

$$\lim_{g\to\infty}\max_{\substack{p\leq M\\{\underline{k}}\vdash 4g-4+p}}|\varepsilon(p,{\underline{k}})|=0.$$

This predicts uniform large-genus Masur–Veech volume asymptotics for odd strata with a bounded number of poles and is presented as an adapted form of an earlier conjecture; it remains open in the source.