  A word $w$ in a free group is called {\em chiral} if there exists a group $G$
such that image of word map corresponding to word $w$ is not closed with
respect to inverse. Similarly a group $G$ is said to be {\em chiral} if there
exists a word $w$ in free group such that $w$ exhibits chirality on the group
$G$. Gordeev et al. \cite{gordeev2018geometry} extended the concept of
chirality to introduce $\gamma$-chirality in both cases. We show that the
notion of $\gamma$-chirality is equivalent to chirality.
