I do think it would depend on the child in question also.. their developmental level, their ability to understand whats happening and very importantly... that they have been fully educated about whats happening.. and had a carer of their own that could take them in and out..
(This is all quite easy in a homebirth, coz the child is in their own environment, and thus more comfortable)..

If planning on the child attending a hospital birth, maybe they should be included in some prebirth hosp tours, that way the environment is not intimidating..

Michelle - I dont see any prob with your daughter waiting with your partner.. When my brother was born, I was 7 and I waited out with my grandparents for him to be born.
You can ask the hosp staff that soon as the baby leaves you, to be taken to your family, or them summoned to the nursery. They can then help bath the baby, cuddled it as a newborn.. and share in the wonderful experience.. I know this happened when my bro was born, I was one of the first people to hold him/cuddle him, and its still a wonderful memory that ill never forget. Ofc theyre accompanied by a nurse.

K