Remark 4.8.6.11 (Isomorphism Invariance). Let $F_0, F_1: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ be functors of $\infty $-categories which are isomorphic (when regarded as objects of the $\infty $-category $\operatorname{Fun}(\operatorname{\mathcal{C}},\operatorname{\mathcal{D}})$). Then $F_0$ is essentially $n$-categorical if and only if $F_1$ is essentially $n$-categorical. See Remark 4.8.5.17.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$