Restriction functor conjecture for Liouville subdomains

Let $M^{in} \subset M$ be an inclusion of Liouville subdomains, and let $\EuScript{W}(M)$ denote the wrapped Fukaya category of $M$, with $\operatorname{Tw}(\EuScript{W}(M^{in}))$ its category of twisted complexes. Restriction functor conjecture. Any inclusion of a Liouville subdomain $M^{in} \subset M$ induces an $A_{\infty}$ restriction functor

$$\EuScript{W}(M) \to \operatorname{Tw}(\EuScript{W}(M^{in})).$$

The conjecture extends the restriction construction for Liouville subdomains to arbitrary inclusions, with the image generally landing in twisted complexes rather than the wrapped Fukaya category itself. The source does not provide evidence resolving the conjecture.