Hyperbolicity conjecture for prime twist-reduced 3-highly twisted link diagrams

Let $L$ be a link in $S^3$ with a diagram that is prime, twist-reduced, and $3$-highly twisted, and that has at least two twist regions. Hyperbolicity conjecture. The link $L$ is hyperbolic. This conjecture would extend the known hyperbolicity results for highly twisted link diagrams beyond plat projections, using the Euler-characteristic techniques developed for highly twisted plats. Its status is not resolved in the source.