The surgeon has no issue with it because it is essentially universal policy in the US (don't know about other countries but can't imagine they don't have simila

The surgeon has no issue with it because it is essentially universal policy in the US (don't know about other countries but can't imagine they don't have similar) that the surgeon must, prior to sedation, mark the surgical site themselves and put their initials on it. Exceptions are made for cases where there isn't a "side" (you only have one gall bladder), or where the wound is "obvious", or for exploratory surgeries where the actual site of all injuries is not yet known.