The universal amplituhedron form triangulation-independence conjecture

Let $\mathcal{T}$ be a degree-one $(n,k,m)$-triangulation. The universal amplituhedron form $\omega^{(\mathcal{T})}_{\mathcal{A}_{n,k,\geq m}}$ is the signed sum of the pushforward forms on ${\rm Fl}_{\mathbb C}(\ell,k+\ell;n)$. Universal amplituhedron form conjecture. The form $\omega^{(\mathcal{T})}_{\mathcal{A}_{n,k,\geq m}}$ does not depend on the choice of triangulation $\mathcal{T}$. This would produce an intrinsic form while allowing $Z$ to vary over the positive Grassmannian; the source gives no resolution.