  We critically discuss the arguments reported in cond-mat/0609285 by B.
  Delamotte, Yu. Holovatch, D. Ivaneyko, D. Mouhanna, and M. Tissier. We show
that their conclusions are not theoretically founded. They are contradicted by
theoretical arguments and numerical results. On the contrary, perturbative
field theory provides a robust evidence for the existence of chiral fixed
points in O(2) X O(N) systems with N>=2. The three-dimensional perturbative
results are consistent with theory and with all available experimental and
Monte Carlo results. They provide a consistent scenario for the critical
behavior of chiral systems.
