Its a good idea to learn about the hospital policies ahead of time and transfer to one that has the least archaic policies if transferring is necessary. Hospital policies are "policies".. not laws.. sometimes making a big enough stink can get you your way. Luckily, the hospital nearest to me is a baby friendly one, so in an emergency thats where I'd go. No worries about routine separation or unwanted formula. I have family who is very much "go with the flow and do what the dr says" who have had c-sections there and baby never left their sight. These are people who definitely wouldn't ASK for that. Unfortunately this hospital has one of the highest c-section rates in the state, so if I were transferring for a non-emergency in which there was still hope for a vaginal birth, I'd be going elsewhere!
Also, don't assume that if you transferred it would ONLY be for an emergency. My first birth we tried EEEEVERYTHING at home. I'd gone 2 full nights, 1 full day and most of another day (it was like 5-6pm) in active labor.. not to mention being awake all day before labor started at night! So before transferring it was all that horrendous back labor, no sleep, stubborn malposition that wasn't budging, almost a full 24 hours of being fully dilated, and purple pushing in half a dozen positions the entire afternoon as a last ditch effort. It was TIME for an epidural and a nap. And I think most sane people would have transferred for just that long before I did!! lol. No emergency.. dd was never in any distress.. but it was time to give up on the home birth :( I do have comfort knowing that I really did try everything and had the best chance. And my amazing midwife, arriving when I'm around 8-9cm, probably thought she was going to sleep in her own bed that night, stayed with me well over 24 hours! Anyway, I have no idea whats just the norm/standing orders in that hospital and what is "policy" but I DO know that I rocked their routines, hard core :) They didn't do ANYTHING to that baby that I didn't explicitly consent to. She stayed in the OR while I was stitched, and she came to recovery with me and nursed. Oddly, one thing that I did not request that was offered to me in a "this is against policy, but we're letting you" way, was my mom coming into recovery with me. She had just flown across country when I told her I was in labor, changed her flight and everything, and walked into the hospital right as I was being wheeled into the OR. So I don't know if having the baby avoid the nursery was against POLICY or against "routines" and "preferences" , but mom in recovery with me WAS against policy.. and it still happened. This is far, FAR from some amazing lovely mom/baby friendly hospital. I might have just gotten lucky and dodged a bullet. But what was a really shitty situation was prevented from being shittier than it had to be..