Beem–Rastelli Higgs branch conjecture for four-dimensional N=2 SCFTs

Let $\mathcal{T}$ be a four-dimensional $N=2$ superconformal field theory, let $\Phi(\mathcal{T})$ be its associated vertex algebra, and let $Higgs_{\mathcal{T}}$ denote its Higgs branch. Write $X_{\Phi(\mathcal{T})}$ for the associated variety of the vertex algebra. Beem–Rastelli conjecture. One has

$$Higgs_{\mathcal{T}}=X_{\Phi(\mathcal{T})}.$$

The conjecture proposes that the Higgs-branch geometry of a four-dimensional $N=2$ SCFT is exactly captured by the associated variety of its two-dimensional vertex algebra. The supplied text gives examples where the equality is known and says that the general statement is expected, but provides no resolution.