I can't really compare to a non-induced labor as I've had 3 children and all were induced because they were late.
My first was 12 days late - I was given pit around 9am and monitor showed contractions immediately, but I felt nothing really. They continued with very slow progress till maybe 730. In fact we were getting pretty bored and called a friend to come visit us around then. Shortly after she arrived, I started feeling contractions intensely. Even with breathing, I was become very tense and cramping in my hands but was still progressing slowly. I ended up getting a dose of Stadol. It worked super in that situation as it relaxed my muscles and while I could feel the pain, I didn't care as much. Immediately I started progressing and my daughter was born by 130am without any problems. I did not do an epidural. She had the cord wrapped around her neck 2 times.
My son was 15 days late. He was tricky though - I went in to be induced the first time (he would have been 12 days late too), but he was breech! SURPRISE! That was the first hint about that. Well, I wasn't ready for a section so we went home. I went to the chiropractor 2 or 3 times a day until delivery and stodd on my head most of the rest of the time. My docs insisted I didn't go past day 15. He had moved from Frank breech to transverse which was good. He still needed some help to turn though. So they had to prep me in case I needed an emergency section. I had to have an epidural for the version just in case. The version was quick but intense with the pressure. She broke my water before they let go of him to make sure he didn't unflip. He engaged and I was 5 and 100% and contracting without any help. I didn't feel too much for a couple hours as the epidural wore off. My water was broken at 12pm. I was rechecked at 345 and was exactly the same so they said we might need to give a little pit to push things along. I REALLY had to pee, but just wasn't able to relax and go (was stuck in bed because of the epidural). I guess between the morning excitement and epidural I didn't realize I needed to go until it was bad. My Dr switched around the bed and sat me up more and turned on water and all that stuff and finally I was able to go. Then things kicked into gear! My son was born at 5:06pm. Turns out he had the cord wrapped around his neck 3 times!
My third was only 9 days late and I think I might have been in labor, but since I was there, they wanted to induce me. I was given a range of hours to go to the hospital between like 2-6am or something crazy so we didn't exactly sleep. I had some contractions that I noticed, but no real pain with them. Since I've never gone into labor without help, I didn't think I was then either. They continued sometimes seeming almost regular - at least not quitting. By the time I was changing in my room and was about to get set up before the induction, I was getting a bit uncomfortable. This time I was careful to make sure I peed any chance I could!! She checked me before doing anything and I was 6cm. So she broke my water - that was our original plan for first round of inducing to see if that was enough without drugs. Contractions instantly intensified to the point I couldn't really talk. My daughter was born 45 minutes later! Everything was good. Really after having her, I felt great...ready to go. Just needed a quick shower to freshen up. I kept thinking I should feel tired or sore.
Crazy how different the experiences can be. In all 3 of my experiences I had some intense contractions, but was able to manage with minimal intervention - just the stadol with my first. I only had the epidural for the version and let it wear off.
I wasn't in a big hurry to rush things along as I do prefer natural as well, but going much past 42 weeks can begin to get dangerous as the placenta is getting old and just isn't as effective in transferring nutrients. You can talk to your dr about your concerns and tell them you want to have the minimal amount of intervention. Ask them what method of induction they want to do and if you have a preference, tell them. Provided it's safe and reasonable with your current status, they should be willing to accomodate you. Perhaps they can just break your water and give you a couple hours to see if you begin contracting. Cervidil is another option you could try before pit. They had planned that with my son, but everything got changed when they discovered he was breech.
Good Luck - I hope you have a wonderful experience.