Harikae–Nakanishi–Uchida conjecture on $(2,2)$-move equivalence

A link is a link in $S^3$. Two links are $(2,2)$-move equivalent if one can be obtained from the other by finitely many $(2,2)$-moves and $(-2,-2)$-moves.

Harikae–Nakanishi–Uchida conjecture. Every link is $(2,2)$-move equivalent to a trivial link.

The conjecture was disproved: the knot $9_{49}$ is a counterexample, so the assertion does not hold as stated.