Last baby I had here they still didn't allow it, although the young girl who gave birth (fourteen I think she mentioned) kept on sneaking her boyfriend in, which was very uncomfortable as they argued a lot! But it wasn't any better with him gone as she argued over the phone instead.
I wish it were possible for everyone to have their own room if required, I had a hard enough time of it when in a room with three other women, two had babies in NICU and so were pissed off when I arrived with an extremely unsettled newborn (the fuck off and shut your baby up from the c-section mum with baby in NICU was quite audible), and so I was pretty anxious about dealing with my baby quickly, being disabled and no mobility.
Fortunately the midwives were very helpful, they provided a co-sleeping cot to hook on the side of my bed, and took her away to night nursery for me, only bringing her back for feeds.
I can only imagine how much more difficult it would have been with fathers too, as I was alone from seven weeks pregnant, so would have had none of the support and all of the worry of disturbing even more people.
If I were ever to have another, I would seriously look into having a home birth, simply for the comfort and privacy, although as a high risk pregnancy due to my health I might find it impossible. I wonder if private care is at all possible and what costs might be, I would definitely look into it, my birthing experience seems to directly correlate with how well I do in the first few months, health and emotionally-wise.