Induction was gently offered to me when I was 39weeks with my daughter. Not pushed but suggested. I thought everything was OK and the Doctors would push for intervention if it was a real emergency. A couple of midwives I know actually said they thought I'd be fine to wait a few days longer.
I clearly remember asking the doc if everything would be OK if I waited a little longer. She said she thought it would be but didn't want me to go too long..........well I did.
If I hadn't had such a strong view about being "natural" I probably would have accepted the earlier intervention and have a live baby.
I was highly stressed during my first pregancy due to being forced to go to a tertiary hospital due to percieved high risk. I think due to this the docs may have "soft footed" with me and not pushed an induction.