Characterisation of normal crossing divisors by weak log transversality

Let $M$ be a complex manifold and let $D$ be a reduced free divisor of $M$. A constructible function $\gamma$ is weakly log transverse to $D$ when it satisfies the weak log transversality condition defined in the paper. Weak log transversality conjecture. The divisor $D$ is normal crossing if and only if every constructible function $\gamma$ is weakly log transverse to $D$. This conjecture proposes a coordinate-free characterisation of normal crossing divisors through weak log transversality; the supplied text gives no resolution.