Symplectic replacement conjecture for friendly Calabi–Yau algebras

Let $(D,\omega,\xi)$ be the symplectic data used in the universal construction, and let $A$ be a friendly algebra satisfying the stated Calabi–Yau condition. Theorem main(ii) represents $A$ using homologically symplectic data $(D,\omega,\xi)$. Symplectic replacement conjecture. In Theorem main(ii), one can replace “homologically symplectic” by “symplectic.” This would strengthen the universal construction by showing that the representing data can be chosen symplectic rather than only homologically symplectic. The source gives no resolution evidence.