I have been induced 3 times!
DS1 - 37 weeks for PE - given first pessary at 8pm on a Friday evening. Midwife very confidently told me that "nothing will happen tonight" as it was my first baby. At about midnight, I started feeling what I was sure were contractions. Midwife, without examining me, decided that it was too soon - I should go back to sleep & she would but a second pessary in at 8am. At 8am (after a sleepless night), midwife came back with the "Induction Trolley" and proceeded to examine me only to find that, yes, I was in labour and was actually ready to go down to the Delivery Suite! From that point it was a fairly slow progression TBH, and DS1 was born at 4.57pm - whilst the Consultant was preparing the forceps!
DS2 - 40+1 as "due to previous history, there's no point letting you go over" - I arrived on the ante-natal ward at 7am, was given a pessary at around 8am. Contractions started properly at around lunchtime and DS2 arrived at 4.31pm.
DD - 38 weeks for erratic BP & increasingly odd LFT results - pessary was given at around 2pm, I was moved on to the delivery suite at around 4pm for "closer monitoring" as DD's heart rate wasn't as steady as they would have liked, even though I wasn't actually in established labour by then. I spent a pleasant couple of hours in a rocking chair, strapped to a baby monitor, watching TV until the pains finally started to be stronger at about 6.30/7pm. I asked the midwife for pethidine, which she left the room to get. When she came back with it at about 7.30pm she asked to examine me to see how things were getting along - at which point she told me it was too late for pethidine as she could see DD's head! DD arrived at 7.47pm!
I have no experience of going in to labour without induction, so I have nothing to compare it to, but for me at least three inductions led to three vaginal deliveries without need for intervention.
Best of luck!