no, I'm OK with blood
I handled my wife's episiotomy just fine. There was no shortage of blood then. She passed a 10 pound blood clot, when delivering our second kid.
I was still OK.
Maybe, because it is your culture, you expected the kid to cry, and he met your expectations. I had no expectations, because I had no idea what was happening.
I didn't run screaming. It was the baby who was issuing the blood-curdling scream. Like the video referenced, nobody is ever going to convince me that removing half the skin of a child's unanesthetized penis is anything short of torture, whether you do it in G^d's name, or just for the heck of it. or because the AAP or Smart Planet told you it was a good idea.