Lilliput,
I had domino births for ds2 and ds3 (last one just 12 wks ago) and I thought it was fantastic.
It meant that I could call a midwife out whenever I had concern - did this a few times in the days running up to ds3's birth as ds2 had arrived so quickly that I was worried about giving birth at home with 2 ds's around (3 and 2 yrs old!).
And yes, I went into hospital to give birth and was out very quickly. I went straight to delivery suite and straight home - didn't go on the wards at all.
With ds2 I got to hospital and he arrived 40 minutes later. I got up, showered and went home 3 hours later.
With ds3 I got to hospital, went straight to delivery room, ds3 born 2 hours later. Showered and went home 3 hours later.
Also, don't know what it's like at your designated hospital but if you are on domino at my hospital you get a marvellously large delivery room that is very homely, nicely decorated and with an en-suite wet room/shower room!! Really lovely and I had the same room for both ds2 and ds3.
I had no intervention at all for either of these births. A tiny bit of gas and air at the end and just used the birthing ball for ds3. Midwives were bloody brilliant!
Homebirth was considered for ds3 but we only live 10 mins from the hospital and I would rather have been there 'just in case' there were complications, plus I was concerned about ds1 and ds2 being around as they are still very little - I know that isn't a concern for everyone but it was for me.
This way, I got the best of both worlds I felt - on hand midwives on call pre-birth, security of being in hospital for actual birth plus fab facilities, home in next to no time.
BTW, ds1 was a different kettle of fish altogether because I was induced and had an epidural. Despite that, because there were no particular complications with that, I was still allowed to have domino for ds2.
HTH and good luck!!