I did! Although I had a home birth, which I think had an influence. I planned a hospital birth but with midwife led care. In my area, we have an alternative private company offering an NHS funded midwifery care option, where you have one midwife throughout pregnancy and, if you choose to birth at home, they will also deliver your baby. For insurance reasons, they can't deliver you in hospital, but they will come to you at home and you can stay at home as long as you want and then they'll come to hospital with you to advocate for you.
So, anyway, I had a midwife with me at home when I was in labour with DD2. I asked her to call the hospital to say we were coming in, and to ask them to fill a pool. Essentially, they laughed and said I wasn't allowed a pool without consultant approval (which obviously I wasn't going to get, given that I hadn't seen a consultant throughout my pregnancy and I was at that point fairly advanced in labour) and that I would 'have to' 
have continuous monitoring and be on the bed. I couldn't really take all this in and so ultimately I stayed at home. I had a fairly quick (6 hours from first contraction to delivery) labour and a straightforward and easy delivery with no tears or stitches. I had no internal examinations and just gas and air for pain relief. I was very fortunate to be attended by a fantastic midwife who (this is crucial IMO) knew me well, having met me at 5 weeks pregnant and cared for me throughout.
My first birth was a crash section for foetal distress at 10cm dilated. Much the same as you, I was told that I was not at any increased risk of having another section because the reasons for the first one were baby-related rather than for a reason relating to me that would be likely to arise again.
I also have a friend who had her second baby a week after me. She had a section first time around and didn't want a repeat section. Her first labour had started spontaneously but then stalled, so she had ended up with induction. She desperately wanted to avoid another cascade of intervention and so she had a number of meetings with her consultant (she opted for consultant led care) prior to the birth over a period of several months where she went through all the things she was unhappy about regarding her first birth and what she wanted next time. She did say to me that she felt they treated her with kid gloves second time around because they viewed her as being 'difficult', so that's something to bear in mind - the squeaky wheel gets the grease, so if there are particular things you're concerned about then speak up - don't wait (like I did, waiting til labour) to the last minute when it's too late!
In the end, my friend agreed a birth plan with her consultant that she would wait for labour to begin spontaneously, would not wish to be induced but instead would prefer to move directly to another section if labour did not progress or if she went post-dates. She went into labour spontaneously about 10 days early and the same thing happened as previously - she got to 4cm and then stopped. They offered her induction and she decided (very much decided, was not coerced or pressed - she felt listened to and that it was presented as an option, not a 'must do') to accept induction but with an epidural. She had a peaceful delivery with a few stitches and was very happy with her experience overall.
Can I have a prize for the longest ever post???? 