I dare say to a point, an induction is unnecessary especially if baby's life is at risk, they have no idea how your body will take to an induction it could take days, putting the baby and mam at further risk, so in my view if it was a true emergency they would recommend an immediate c section
Don’t feel bad at all! It is your body and your choice, the doctors are there to give their professional opinion, they obviously air on the side of caution as everyone wants the same outcome of healthy baby and healthy mam, but at the end of the day as long as you have done your research and are aware of the risks and are fine with extra monitoring when you do go post dates, it’s completely fine to go over!