Actually this is not true. You can refuse to let them take your baby. It's your baby. If you won't hand the baby over, what are they going to do, wrestle it away?
I have had three biological children and only one was "kept" from me. However, she did have a medical necessity that I didn't completely understand at the time and that was the reason for our seperation. (we have ABO incompatibility and she had dangerously high bilirueben)
For the next two children, they did not go to the nursery unless I sent them. They stayed with me the entire time, even in recovery after my csections. Jack went to the nursery the second night because I just needed some sleep and I wanted him to have a bath (he started to stink) and they were going to do his hearing screen. He was there I believe three hours and was brought to me when he woke up for a feeding. Katie, the last baby born to us, was with us in our room the entire time unless we accompianed her to the nursery. She had ABO incompatibility and was jaundice at birth. All of her light therapy was done in our room, even though some of the nurses complained. Also, the pediatrician came to our room for the eval because I wouldn't let them take her. Surely if the ped is going to come to my room to tell me about the eval, they can do it right there. I walked her to the nursery for a bath (because frankly, she was nasty) and then another time to do her hearing screen. Both times I was welcomed to just hang out in the nursery and talk to the other moms and nurses. No big deal.
They can't legally FORCE you to put your baby in the nursery. How insane.
Note: Our hospital does have a policy about csection moms, or moms on drugs being left unattended with a newborn. There must be another adult in the room. This is something I did respect because it is not uncommon for csection moms to pass out in the bathroom or have spells. Someone is with me at all times so there is not a "medical" reason to remove my child. I just think this is common sense.