  We study the discrete-to-continuum limit of the helical XY $S^{2}$-spin
system on the lattice $\mathbb{Z}^{2}$. We scale the interaction parameters in
order to reduce the model to a spin chain in the vicinity of the
Landau-Lifschitz point and we prove that at the same energy scaling under which
the $S^{1}$-model presents scalar chirality transitions, the cost of every
vectorial chirality transition is now zero. In addition we show that if the
energy of the system is modified penalizing the distance of the $S^{2}$ field
from a finite number of copies of $S^{1}$, it is still possible to prove the
emergence of nontrivial (possibly trace dependent) chirality transitions.
