Sounds like a load of bull to me. Well, all of it except maybe the part about scheduling an induction if you go overdue if they are full. I have no idea what their scheduling is like. However, the likelihood that you would go overdue and need an induction is statistically slim. I really don't see the need for scheduling an induction just in case. Just sounds super silly to me. Your doc may have truly good intentions and think s/he is doing what's best for you but sounds to me like s/he's not very experienced with allowing a healthy pregnancy to progress as normal (not an attack against your doc because most OBs are not).
Any kind of "induction", whether what you call partially natural by prematurely artificially rupturing membranes (which isn't really natural at all) or by use of drugs, can lead to all kinds of medical complications. It is not something to take lightly regardless of how casual your doc seems to be about it. S/he is not the one who could lose her uterus and never be able to have another baby or even die (talk about scare tactics, huh?
). They kind of sugar coat those risks but they are there. They are what I call unnecessary, unnatural risks vs. the normal, natural risks that come with being pg and having a baby.
Also, regardless of what your doc says, s/he cannot force you to do anything. So to say that you would most likely need a c-section if you go 10-14 days overdue does not mean you have to consent to one. You don't even have to consent to an induction at that point. It is your choice.