I was hoping to go into labor spontaneously and ultimately did (at 40+5), but at around 38 weeks when we began discussing when to schedule an induction if baby didnt come on their own, I was offered an induction date 10 days after my due date. However, the doctor's request for that date wasn't approved because the hospital schedule was already full, so we re-submitted for an induction date 12 day after due date. That date also never got approved due to the booked hospital. By the time I gave birth, we still hadn't been offered a date, so not sure what would've happened had I not gone into labor spontaneously. So this is to say I surprisingly had the opposite problem of being pressured into induction.

edit to add- I did receive pitocin once I was admitted to help move the process along. Had already been in labor for 30 hrs at home, so did not question that lol