Hedden–Pinzón-Caicedo's winding-zero rank-expansion conjecture

Let $P\subset S^1\times D^2$ be a pattern, and let its winding number be the algebraic intersection number of $P$ with a meridional disk of $S^1\times D^2$. A pattern is rank expanding if the associated satellite operator produces an infinite-rank subgroup of the concordance group from a suitable family of companion knots. Hedden–Pinzón-Caicedo's conjecture. If $P$ is a nontrivial pattern of winding number zero, then $P$ is rank expanding. This is presented as a conjecture of Hedden–Pinzón-Caicedo concerning the infinite-rank behavior of winding-zero satellite patterns; the source gives no resolution.