I do think it should be an option for men to stay if that is what the couple want. As bonding should be for the men too....Also for security....It is hard to even go to the loo when you are scared to leave bubs alone.
I was single when I had Ty, so did not have an option. But, I just remember how scary it was being left alone, with a new baby. I was shattered, but knew I had to look after him. From the point of view of someone who was single, I think the option of having a 'birth partner' stay with you should be there. So, anyone, in any circumstance does not have to be left alone.