Profinite rigidity conjecture for cusped hyperbolic 3-manifolds

Let $M$ be a cusped hyperbolic $3$-manifold, and let $N$ be a compact, orientable $3$-manifold. The manifolds are profinally rigid when any isomorphism between their profinite fundamental groups forces the manifolds to be homeomorphic.

Profinite rigidity conjecture. Every cusped hyperbolic $3$-manifold is profinitely rigid among compact, orientable $3$-manifolds.

The conjecture is motivated by profinite detection of Dehn fillings and by the many known examples of profinitely rigid cusped hyperbolic $3$-manifolds. The source presents the general assertion as a conjecture and gives no resolution.