Private rooms, no problem. Open wards no, no, and no.
The women are the patients. This means that in this instance their privacy, dignity and comfort is paramount, and trumps the interests of men (whodathunk it, eh)? In the vast majority of cases is will be for 2-3 days maximum.
My DH was hoofed out at around 9 pm (DC born late afternoon) and the only bonding time we had on the first day was in recovery. The world didn't end. And in response to the many PPs who had traumatic EMCSs, yes, so did I. I'm aware it's painful and uncomfortable. But it's still possible to BF, and the DHs can come back and visit during the day.
There are other people to consider here. Maternity wards are noisy and uncomfortable places at the best of times (which this isn't, despite the new mum euphoria). Having your innards turned inside out to give birth, lying on your bed cathertized and bleeding like a stuck pig, or crying because you feel grim and unable to shower having gone through the dirty process of childbirth, definitely doesn't qualify as one of them. I don't want to hear other patients' DPs snoring like warthogs when I'm trying to get some much-needed sleep after a physically traumatic experience. No more do they, I'm sure, want to hear mine.
And don't get me started on those Bounty reps, who have absolutely no business mining exhausted new mothers for data. It's an affront to patients' dignity that they should be there at all!