Nor was I and I had 2 @sweetpea the first an emergency Caesarean. The second after finding out natural birth was never going to happen, yes it takes you off guard being unexpected, one has to accept life and move on.
So under sedation it was not something I experienced either, my eldest I saw for the first time about 6 hours later, the second made his arrival and I only met him after a couple of hours recovery.
You do your best with what you are given, biological or not does it make any difference? Who ends up tucking them into bed at night, that is what counts.