My situation is different, as I consider Isaiah a mid loss, not a late one, and we birthed at home. But we still had to go to the hossy, so can share that part of it.

Once we found he had passed, we were booked for induction 2 days later. I know our Maternity unit well.. it has 3 normal birthing rooms, all in a row, and you can hear every noise from them.... maternity unit is just around the corner, so you can hear the ward as well.
I was told there was no where else to birth, just one of the rooms... I was DREADING it so much.......
Luckily, he came at 3.00am at home, before we had to go be induced. Adam rang and told them I was fine, we will call in later in the morning.

About 10am we went to maternity, and had to walk through the entire ward, then birthing unit, carrying Isaiah.... it was horrendous.
Once there, we were put into a birthing room, with 2 labouring mums on either side... even more horrendous. We had to walk through the labour ward waiting room... just hideous.
The middies were so lovely, but I could hear the birthing mums, and the nursery, and the ward.... had we had any family/friends come, they would of been in the labour waiting room, and then the labour suite....

There is no seperate room or area at our hossy, its just a maternity/nursery/birthing rooms all in one section. I think your idea is absolutely beautiful, and very much needed at many hospitals.