Chirality conjecture for the $E_{2k+1}$ knot family

For each integer $k\geq 1$, let $E_{2k+1}$ denote the family of alternating knots that embed on an $M_{2k+1}$ mosaic with $|D|=2$, where $D$ is the relevant dual structure. A knot is chiral if it is not ambient isotopic to its mirror image. Chirality conjecture for the $E_{2k+1}$ family.

$$E_{2k+1}\text{ knots are chiral.}$$

The source motivates this from the non-palindromic Jones polynomial of the smallest member $7_{4}$, but does not establish chirality for every member of the family; the claim therefore remains open.