Identification conjecture for geometric and Borcherds Lie algebras of quivers

Let $Q$ be a quiver, let $\mathbf{g}_Q$ be the graded Lie algebra constructed from Maulik–Okounkov classical $R$-matrices, let $\bar{\mathfrak{g}}_Q$ denote the geometric Lie algebra associated to the quiver varieties, and let $\widetilde{\mathfrak{g}}_Q$ be the graded Borcherds algebra arising from the quiver Kac polynomials. Lie algebra identification conjecture. For any $Q$,

$$\mathbf{g}_Q\simeq\bar{\mathfrak{g}}_Q\simeq\widetilde{\mathfrak{g}}_Q.$$

This would unify the Lie algebras arising from the Maulik–Okounkov, geometric, and Borcherds constructions; the supplied text gives no resolution.