  We provide accurate assessments of the consequences of violations of
self-consistency in Hartree-Fock (HF) based random phase approximation (RPA)
calculations of the centroid energy $E_{cen}$ of isoscalar and isovector giant
resonances of multi-polarities $L=0-3$ in a wide range of nuclei. This is done
by carrying out highly accurate HF-RPA calculations neglecting the
particle-hole (ph) spin-orbit or Coulomb interaction in the RPA and comparing
with the fully self-consistent HF-RPA results. We find that the shifts in the
value of $E_{cen}$ due to self-consistency violation associated with the
spin-orbit and Coulomb interactions are comparable or larger than the current
experimental errors in $E_{cen}$.
