M.C.
I have twice. They do take they baby to the nursery to do most of that stuff. They did the hearing test in my room, but other than that, she was in the nursery for pediatrician visits and other tests. She was with me during the day, and at night when she was hungry, but could've roomed in at night. (I just had long labors and late births, so needed rest, and was afraid I wouldn't wake up if someone came in and took her.) Oh, and they don't take them away immediately. Both times the baby stayed with me for skin to skin contact and breastfeeding for a few hours. When I got moved to a room, the baby went to the nursery while I got settled in.