Terminal quotient-link conjecture on uniqueness of orbifold fillings

Let $\mathbb{C}^n/G$ be an isolated terminal singularity, and let $(S^{2n-1}/G,\xi_{\rm std})$ be its contact link. Terminal quotient-link orbifold-filling conjecture. Exact orbifold fillings of the contact link $(S^{2n-1}/G,\xi_{\rm std})$ have a unique diffeomorphism type. The conjecture generalizes the Eliashberg–Floer–McDuff uniqueness theorem for exact fillings of the standard contact sphere and would imply the non-existence conjecture for exact fillings; the source gives evidence but no resolution.