With DS I was induced at 42 weeks. To my everlasting regret. Actually I have 2 due dates both times, by the original (IVF transfer) I was 42+3/4 (can't remember exactly). The 42 weeks was according to an early scan. With DD I went into labour after an S&S and had her at 41+4 (by scan) or 42+3 by original dates.
There's plenty of evidence to show the true average gestation is actually more like 41 weeks, not 40. And most of the time the mother and baby figure things out between them without any need for intervention. Yes, there's always the risk that something might go wrong. That could happen at any time though. And there are certainly plenty of risks associated with an induction.

You want a natural, sponaneous labour? Most likely you can still have one. The choice is totally yours to make. Don't allow youreseelf to be railroaded into something you're not comfortable with - it's your decision to make, not some doctors or hospital administrators. It's your body and your baby and your responsibility. Definitely request monitoring if that's what you want - they probably haven't mentioned it as they assume you'll turn up for your induction as scheduled.