Toën's comparison conjecture for commutative ring spectra

Let $Sp^{\Sigma}$ be the category of symmetric spectra and let $Comm(Sp^{\Sigma})$ be the model category of commutative ring spectra. Let $LSp^{\Sigma}$ be the tensor Segal category obtained by localizing $Sp^{\Sigma}$, and define the Segal category of commutative monoids in a tensor Segal category $A$ by

$$Comm(A):=\mathbb{R}\underline{Hom}^{\otimes}(FS,A),$$

where $FS$ is the symmetric monoidal category of finite sets under disjoint union. Toën's comparison conjecture. The natural morphism

$$L(Comm(Sp^{\Sigma}))\longrightarrow Comm(LSp^{\Sigma})$$

is an equivalence of Segal categories. This compares commutative ring spectra with commutative monoids in the tensor Segal category of spectra and is presented as an important conjectural comparison.