Quillen equivalence conjecture for the properadic nerve

Let $\operatorname{sProperad}$ be the category of simplicially enriched properads, and let

$$N:\operatorname{sProperad}\rightarrow \operatorname{sSet}_{disc}^{\varGamma^{\operatorname{op}}}$$

be the properadic nerve functor, where $\varGamma$ is the graphical category. Properadic nerve Quillen-equivalence conjecture. The properadic nerve functor $N$ is the right adjoint in a Quillen equivalence. This would relate the model theory of simplicially enriched properads to the conjectural model structure on discrete graphical spaces.