I could be wrong but I thought that was explained by c section scheduling. Doctors love nothing more than a tight schedule and birth is anything but that.
Had a child due around Christmas in our family, and I think both you and parent are both correct. The mother really didn't want to miss Christmas and the doctor offered to schedule an early induction. They didn't offer to induce on Christmas Day, eve or the day after. The baby came a couple days after Christmas.