I admit that "kids" is a bit imprecise and can lead to misunderstandings. But that is just not important to this discussion.
And the exact definition of the anesthesia given to most infants before 1987: A paralytic. Nothing else.
If you feel adventurous, have your family doctor give you a paralytic and then push a sterile needle under your fingernail. Then tell me the exact definition of sufficient anesthesia in that case ;)