The geometric realization conjecture for ideal triangulations of 3-manifolds

Let $M$ be a 3-manifold with an ideal triangulation $T$, meaning a triangulation whose vertices are removed and correspond to ends of $M$. Assume that every edge of $T$ has valence at least $6$.

Geometric realization conjecture. The triangulation $T$ is realized by hyperbolic partially truncated tetrahedra.

The conjecture asks whether the hyperbolicity forced by the combinatorial valence condition can be realized directly by the tetrahedra of the triangulation, rather than merely by a hyperbolic structure on $M$. The statement is presented as a proposal, and no resolution is given in the source.