Uniqueness conjecture for unknotting crossings of alternating knots

Let $K$) be an alternating knot with unknotting number $u(K)=1$, and let $D$ be an alternating diagram of $K$. An unknotting crossing is a crossing whose change produces the unknot; two such crossings have the same sign when their crossing signs agree. A clasp knot is the knot type intended by the source's terminology.

Uniqueness conjecture. If $D$ contains more than one unknotting crossing of the same sign, then $K$ is a clasp knot.

The conjecture is motivated by the observation that, in all known examples, the isomorphism from the lattice associated with an alternating diagram to a change-maker lattice is essentially unique. Its resolution status is not specified in the supplied text.