Yes I had Domino care also, it was great. I was an "senile gravida!" first Mum - aged 35 - and I had the midwife and her trainee assistant visiting me beforehand, and then at the birth, at the lovely local Maternity Hospital, which has since closed and is now part of the general hospital in Colchester. We built up a good relationship and I trusted them and was happy to know they would be with me at the birth, and for antenatal visits.
For the trainee I was to be her first birth, (with the midwife on hand too) and she only just got there in time, as things moved quickly. If everyone could still have Domino, I think hospital births are safer and preferable. You really never know what may suddenly go wrong.
However, I don't think Domino is available now. I have heard stories of people being left alone for ages, frightened and no continuity of care. I suppose this is the type of experience which makes people want to have a home birth. Things move on but not always in a good way.