Nadler–Tanaka's conjecture relating Lagrangian cobordisms to wrapped Fukaya categories

Let $M$ be an exact symplectic manifold with Lagrangian support $\Lambda\subset M$. Let $WF_\Lambda(M)$ denote the corresponding partially wrapped Fukaya category with rational coefficients, and let $\cE$ be the endomorphism $E_\infty$-ring spectrum from the point case.

Nadler–Tanaka's wrapped-Fukaya conjecture. The continuation-map functor induces an equivalence of stable $\infty$-categories

$$\Lag_\Lambda(M)\otimes_\cE\mathbb Q\simeq WF_\Lambda(M).$$

This is one of the paper's primary motivations: it predicts that rationalized Lagrangian cobordisms recover the partially wrapped Fukaya category. The source describes the functor and states the equivalence conjecturally.