Weakly unital strict categories model weak higher categories

Let $n$ be a nonnegative integer. Consider weakly unital strict $n$-categories, the equivalences between them, and the models of weak $n$-categories due to Tamsamani, Baez–Dolan, and Batanin. Weakly unital strict category conjecture. The localization of the category of weakly unital strict $n$-categories by equivalences is equivalent to the localizations of the categories of weak $n$-categories of Tamsamani and/or Baez–Dolan and/or Batanin by equivalences. This is presented as an expected extension from groupoids to general higher categories; the source gives no resolution.