Let $\mathscr{Y}$ be a connected regular flat proper $R$-scheme such that $\mathscr{Y}_{K}$ has trivial canonical sheaf and $\mathscr{Y}_{k}$ is a strict normal crossings divisor. Then the skeleta $\mathrm{Sk}(\mathscr{Y})$ and $\mathrm{Sk}(\mathscr{Y}_{K})$ only depend on $\mathscr{Y}\times_{R}R/(t^{2}),$ in the following sense. Assume that $\mathscr{Z}$ is a regular flat proper $R$-scheme such that $\mathscr{Z}_{K}$ has trivial canonical sheaf and there exists an isomorphism of $R/(t^{2})$-schemes

$$f:\mathscr{Y}\times_{R}R/(t^{2})\to\mathscr{Z}\times_{R}R/(t^{2}).$$

Then there exists an isomorphism of simplicial spaces $\mathrm{Sk}(\mathscr{Y})\to\mathrm{Sk}(\mathscr{Z})$ that maps $\mathrm{Sk}(\mathscr{Y}_{K})$ onto $\mathrm{Sk}(\mathscr{Z}_{K})$.