Conjecture on sums of torus knots concordant to alternating knots

Let $\mathcal{C}$ be the knot concordance group and let $\mathcal{C}_\text{alt}\subset\mathcal{C}$ be the subgroup spanned by alternating knots. A sum of torus knots is a finite connected sum of torus knots.

Torus-knot alternating-concordance conjecture. A sum of torus knots is concordant to an alternating knot if and only if it is a sum of $(2n+1,2)$ torus knots.

This conjecture addresses which sums of torus knots represent concordance classes containing alternating knots. The surrounding discussion explains that alternating knots have alternating Alexander polynomials and diagonal knot Floer homology, but does not state a resolution of the conjecture.