"The survivor must instantly go on the offensive. Punching as many holes into the attacker and causing as much blood loss as possible, as quickly as possible, in whatever way they can."
I agree that the survivor must immediately and aggressively go on the offensive but I think a more efficient objective is controlling and/or seriously damaging the limb welding the weapon versus punching holes in an attempt to increase blood loss to incapacitation. I do not want to be in a hole punching race with a knife welding attacker. If I'm not in a position to do something significant with my knife to immediately disrupt the attackers ability to weld his weapon then my focus will be controlling that limb and minimize the attackers ability to do damage to me, while I'm using other weapons (locks, breaks, knees, kicks, etc.) to inflict as much pain and damage as possible.