The tau-sharp equality conjecture for knots

Let $K\subset S^3$ be a knot. The invariant $\tau^\sharp$ is the framed-instanton concordance homomorphism, and $\tau$ is the Heegaard Floer concordance invariant.

Tau-sharp equality conjecture.

$$\tau^\sharp(K)=\tau(K)$$

for every knot $K\subset S^3$.

The source states that the two concordance homomorphisms agree for homogeneous and quasipositive knots, and conjectures equality for all knots. No resolution is given here.