A menstrual cycle is, by definition, an ovulatory cycle in which ovulation is the main event, and progesterone is made. Any other kind of bleed is either an anovulatory bleed or a pill bleed.
Furthermore, progesterone (which can only be made by ovulating) is important for general health, and is not just to make a baby.

Natural or non-hormonal contraceptive methods include fertility awareness-based methods, the diaphragm, condoms, and the copper IUD or Paragard.
Coming off birth control doesn’t have to be a nightmare for skin. Your skin might have been bad the last time you tried to stop the pill but this time will be different. This time, you’ll know about post-pill acne and how to treat it.