All those trying to say that emergency treatment isn't available immediately at home, it's worth pointing out that theatres with staff fully scrubbed and ready for you don't happen in hospital either. Staff are busy and even in crash sections you may wait for the patient before you to finish their procedure and for staff to be gathered from their on call sleeping space (which may be their home) and get scrubbed and gowned. Etc etc. Everything is dependent on circumstance.
Hospital births are not risk free, they just present different risks.
I've given birth at home and in hospital. The care, attention and respect I received during my home births were incomparably better to the lack of care, dismissal and upset I was subjected to in hospital.
My home births were absolutely amazing. Truly treasured experiences where I felt so safe, with dedicated 2:1 care that was planned in advance and specific to me and my needs. The NHS midwifery team that cared for me through my pregnancy were v v experienced and I had my named midwife for most of my antenatal appointments as well as at the birth. Being able to move around with soft furnishings, cushions, blankets etc really helped me labour, as did having cold drinks from the fridge and what I fancied to eat on hand. I loved washing in my own bathroom and getting into my own bed with dh with us the whole time.
(In hospital it was too hot, too loud, too bright, no privacy, dh had to leave, the bathrooms were really far away with no room for the baby but also didn't feel safe to leave them on the ward alone... Etc etc.)
I actually wish I could have another baby to have another home birth!