Normally though, induction happens because there is some problem or because the pregnancy has gone past the due date, and in these cases your risk of a c-section is already elevated.
Makes sense. As mentioned in the comments, there are different ways of inducing labor. I was referring to usage of pitocin or similar too early in the process, instead of gradually inducing the labor with other medications. We had success with just misoprostol during our labor, but the process was quite long.
I don’t think c-section after successful induction is common. There are some number of failed inductions (i.e. nothing happens) which result in c-section. Bear in mind that this is generally done - like the original induction - because “giving enough time” after 42 weeks costs lives.
This review finds the rate is actually lower after induction, contrary to popular claims:
https://www.nih.gov/news-events/news-releases/induced-labor-...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4049989/
Normally though, induction happens because there is some problem or because the pregnancy has gone past the due date, and in these cases your risk of a c-section is already elevated.