Let $\Gamma=(\Gamma_1\rightrightarrows \Gamma_0), \Gamma’=(\Gamma’_1\rightrightarrows \Gamma’_0)$ be Lie groupoids and $\Gamma_{\bullet} ,\Gamma’_{\bullet}$ be the simplicial manifolds associated to $\Gamma,\Gamma’$ respectively.

Question : If the simplicial manifolds $\Gamma_{\bullet}$ and $\Gamma’_{\bullet}$ are isomorphic, then, does it imply that $\Gamma=(\Gamma_1\rightrightarrows \Gamma_0)$ and $ \Gamma’=(\Gamma’_1\rightrightarrows \Gamma’_0)$ are Morita equivalent?

Has this been mentioned anywhere?