I don't think partners should stay over night, unless you have a private room.
I don't feel intimidated by men, the fact that the majority of partners would be men doesn't bother me in the slightest.
What bothers me is that the ward should be as quiet and peaceful as possible especially at night. Noise from other mothers and babies can't be avoided. But I wouldnt want another 6 people milling around.
I had ds at 6.40am and lost quite a bit of blood. The MW wanted me to stay over night. The ward was so noisy with the next couple along falling out, the woman across from us insisting she was discharging herself and getting the bus even though she had a section the day before, and another woman shouting at someone down the phone.....I discharged myself and dh took us home.
It was far better than the night I spent in hospital with dd where I go no sleep.
Personally I think there should be more done to keep post natal wards quiet.