Integer-multiple deficiency conjecture for optimal covers

Let $A$ be an extremal matrix of deficiency $\delta$, and let $\Lambda=(\lambda_{i,j})$ be an optimal hyperplane cover of $A$.

Integer-multiple deficiency conjecture. Every entry of $\Lambda$ is an integer multiple of $\delta$.

This conjecture predicts arithmetic rigidity for optimal hyperplane-cover weights. The supplied source gives no resolution status.