Your question is so important Doctor Sb,
Calling Eid Mubarak twice a year has become a memory, not intellect. Eid Mubarak and Mubarak to Eid completes the reciprocity. Nothing is more hopeless than a one sided Mubarak. Receiving Mubarak from Eid is meaningful only when we believe that we can also give it in return to the Eid. That means all our responsibilities towards social pleasure.