I say, and with God's help: There is no difference in the waiting period for divorce, khula, and annulment. The waiting period for a menstruating woman is three menstrual cycles, for a woman who has ceased menstruating it is three months, and for a pregnant woman, it is until she gives birth in all three cases. As for the number of divorces, divorce and khula reduce the count of divorces, while annulment does not reduce the count of divorces, and God knows best.