"If what is important to you is giving birth in a homely atmosphere with good support and minimum interventions, then probably an out of hospital birth is best."
Except I would spell out that by 'minimum interventions' we mean less than a third as likely to have a cut to the perineum, about a half as likely to end up on an operating table, about half as likely to need a GA, less likely to end up in HDU, A LOT less likely to need a blood transfusion, a third as likely to have a forceps delivery, less likely to have an anal sphincter injury. Best be specific. Obviously this would be particularly important to someone wanting another child who should be made aware of the small increase in stillbirth in pregnancies following c/s.
"If you are bothered by things like access to epidurals, not wanting to transfer and a very small increase in adverse outcomes, then probably a hospital birth is best."
Sorry - you have said the evidence in the BP study is unreliable, yet you confidently speak of an increase in adverse outcomes? The abstract of this study in the BMJ concluded: "Women planning birth in a midwifery unit and multiparous women planning birth at home experience fewer interventions than those planning birth in an obstetric unit with no impact on perinatal outcomes".
Was also interested to note in the figures on the BMJ report of the study that there were double the percentage of vaginal breech births in the homebirth arm compared to the OU arm. I wonder what contribution this made to the adverse outcome figures?