Comparison conjecture for strict non-unital and weak n-categories

Let $n$-snucategories be the recursively defined strict, non-unital $n$-categories, and consider their localizations at equivalences. Let the weak $n$-categories of Tamsamani, Baez–Dolan, and Batanin likewise be localized at equivalences.

Comparison conjecture for snucategories. The localization of the category of $n$-snucategories by equivalences is equivalent to the localizations of the categories of weak $n$-categories of Tamsamani, Baez–Dolan, and Batanin by equivalences.

This is proposed as a stronger comparison statement after the preceding conjecture, and the supplied text gives no resolution or supporting status beyond presenting it as a further possibility.