I think I may be an oddity, but I had the opposite experience. I was not induced with my first. My labor started a couple hours after my water broke on my own at 39 weeks. The pain was horrible. It was 16 years ago, but I remember it being very sharp pains all in my abdomen. I had a hard time coping and had an epidural and he was born vaginally after almost 3 hours of pushing.
I was induced with my second at 39+5. They broke my water and started the pitocin in the morning. The contractions started immediately, but felt like menstrual cramps. I kept waiting for them to get painful like with my first labor, but never did. I didn't scream, wasn't writhing in pain, and had no problem breathing through them. In about 4 hours, I told the nurse I felt pressure down below, which I had never felt with my son because of the epidural, and she said "no way, you can't be fully dilated because you're not in enough pain!" Well she checked me and I was not only fully dilated, but crowning. My daughter was born in 2 pushes. It was an amazing experience. Like I said, maybe my experience was odd, but my second induced birth hurt a whole lot less.