Finite-generation conjecture for ${\cal E}_n^t$

Let ${\cal E}_n^t$ be the quadratic algebra with central parameters $t_{ij}=[ij]^2$, and let $\mathbb{Z}[t]=\mathbb{Z}[t_{ij},\ 1\leq i<j\leq n]$. Finite-generation conjecture. The algebra ${\cal E}_n^t$ is a finite-dimensional module over $\mathbb{Z}[t]$.

This would give uniform finite generation over the polynomial ring of central square parameters. The claim is attributed in the source to [FK], and the source gives no resolution.