It's funny my hospital wouldn't let me go home after my second, or the lady in the opposite bed, for 48 hours, even though we were begging to- the other lady was even in tears she was that desperate. The issue was we were both gbs positive and our births were too quick to administer IV antibiotics so the doctors refused to discharge us as they wanted to observe our babies. I told them I would regularly check bubs temp at home (as that's all they were doing) but they continued to refuse to let me go.
The nurses were so busy, the beds were full, that you'd thought that they'd be keen to push us out- but they were too even busy to organise doctor visits and discharge papers.
The nurses I talked to said most women wanted to go home at my hospital as they were so full and busy and women thought they'd get better care at home with a midwife visit - it wasn't that my hospital was pushing them out- quite the opposite, nobody wanted to stay lol