cerys74 As I've said upthread, intervention is riskier!
Induction increases the chance of CS or instrumental delivery - which is riskier to the mother's health than a vaginal birth.
Interventions increase the chance of PPH and retained placenta (which can lead to or worsen PPH, as well as the risk of infection) requiring for PPH perhaps a transfusion (or if you're lucky a course of iron tablets for several months in some cases) or for the retained placenta, a spinal anaesthetic and manual removal in theatre (both presenting further risks in themselves)
PPH and retained placenta then make every subsequent delivery for that mother high risk automatically, regardless of whether the reasons for them were iatrogenic or not.
I had a hospital induction, and interventions available on the spot. I am far from glad that they were available to me, and wish I'd stuck to my plan of staying at home and waiting for DD to come in her own time.