Malkoun's linear independence conjecture for the symplectic-group construction

Let $\mathfrak{t}\simeq\mathbb{R}^n$ be a Cartan subalgebra for $G=Sp(n)$, and let $\Delta$ denote the non-regular locus. Thus a configuration $\mathbf{x}=(\mathbf{x}_1,\ldots,\mathbf{x}_n)\in(\mathfrak{t}\otimes\mathbb{R}^3)\setminus\Delta$ satisfies $\mathbf{x}_a\neq\mathbf{0}$ and $\mathbf{x}_a\pm\mathbf{x}_b\neq\mathbf{0}$ for $a<b$. Let $p_a$ and $q_a$ be the associated polynomials of degree at most $2n-1$.

Malkoun's conjecture 1 for $Sp(n)$. For every such configuration, the polynomials $p_1,q_1,\ldots,p_n,q_n$ are linearly independent over $\mathbb{C}$.

This is the first symplectic analogue of the Atiyah–Sutcliffe linear-independence conjecture. The supplied text gives no resolution status.