i see what you mean frogs, but i feel it is a bit of a chicken and egg scenario
first time mum, goes to labour ward bit sooner than needs to, maybe sent home, maybe sent to ante natal ward, feels dejected, alone, unsure, not sleeping, worried, tired, finally gets to established labour, pain takes her by surprise, cannot cope well, no midwife by her side, opts for epidural, ends up immobile on bed, with drip and continuous monitoring, cannot feel urge to push, so pushes perhaps not as effectively, tired, scared, needs help to get baby out.....
at home , you can mobilise, have a bath use a birth pool if you hire one, TENS, no back and forth, can rest in own bed, have constant support, eat and drink when you need to ..midwife there for you. can have as many birth partners as you want, being active, comfortable, feeling secure, does make the pain easier to cope with
can see how the same woman can have such a different birth experience