Consider a case of a Jewish-born child who was circumcised by a non-orthodox or non-Jewish person (say with a circumcision clamp by a doctor - where the doctor was just thinking about a surgical procedure, but the parents did it for Jewish reasons and not because it prevents disease or another secular consideration). It was done on or after 8 days old.
Is Hatafas Dam Bris (a pinprick of blood) required subsequently? Or does it not really matter - after the fact - who did it, just that it was done on or after the right time?