Injectivity conjecture for the profinite realization of knots

Let $\mathcal K$ be the set of isotopy classes of topological oriented knots, and let $\widehat{\mathcal K}$ be the set of isotopy classes of profinite knots. The profinite realization map is

$$h:\mathcal K\to\widehat{\mathcal K}.$$

Profinite knot realization conjecture. The map $h$ is injective. This is proposed as a knot-theoretic analogue of residual finiteness for braid groups. If it fails, the Kontsevich invariant would not be a perfect invariant; its status is not resolved in the source.