The wheeling conjecture for Chinese-character diagram products

Let ${\mathcal B}'$ be the completed graded space of Chinese characters, equipped with the disjoint-union product and a second product transported from the diagram algebra via the isomorphism $\chi$. Let $\Omega$ be the wheels series and let $\hat{\Omega}:{\mathcal B}'\to{\mathcal B}'$ be the wheeling operator obtained by gluing all legs of the Chinese characters occurring in $\Omega$ to legs of an input diagram. Denote the two products by $\mathaccent\cdot\cup$ and $\times$, respectively.

Wheeling conjecture. Wheeling intertwines the two products on Chinese characters; more precisely,

$$\hat{\Omega}:({\mathcal B}',\mathaccent\cdot\cup)\to({\mathcal B}',\times)$$

is an algebra isomorphism.

The conjecture is presented as a diagrammatic analogue of the Duflo isomorphism and is attributed in the source to an independent conjecture of Deligne. The supplied text does not establish whether it has been resolved.