Dunfield's orderability conjecture for Dehn fillings

Let $M$ be a hyperbolic $\mathbb{Z}$-homology solid torus, and let $M(0)$ denote its longitudinal filling. Assume that $M(0)$ is hyperbolic and that its holonomy representation has trace field with a real embedding at which the associated quaternion algebra splits. A Dehn filling $M(r)$ is called orderable when its fundamental group is left-orderable. Dunfield's conjecture. Every Dehn filling $M(r)$ with rational $r$ in an interval $(-a,a)$ is orderable. The conjecture concerns orderability near the longitudinal filling under an arithmetic splitting hypothesis; the source does not specify whether it has been resolved.