Abe–Tagami and Baker's linear independence conjecture for prime fibered strongly quasi-positive knots

Let $\mathcal{C}$ denote the smooth knot concordance group. A knot is strongly quasi-positive if it admits a strongly quasi-positive braid representative. Abe–Tagami and Baker's conjecture. The set of prime fibered strongly quasi-positive knots is linearly independent in $\mathcal{C}$. This statement is presented as stronger than Rudolph's conjecture because algebraic knots form a subclass of strongly quasi-positive knots, while the source explains that it would follow from the slice-ribbon conjecture. The conjecture remains open in the source.