If the fish is clearly taking the lure, in this case a bead, and gets the hook inside it's mouth at the same time, how is that any different than say a spinner with a trailing treble hook or an intruder with the hook extending past the material? If your pegging the bead 6" from the hook that's a different story.
The intent of the pegged egg is that the fish take the egg and then get hooked outside the mouth. The intent of the spinner/intruder is that the fish take the hook into its mouth. If it gets hooked out side of the mouth, that was an unintended result.
If the pegged egg results in the fish getting hooked inside the mouth, this is not the design of the rig. It is a good "result" from a "bad" action
The intent of a pegged bead is that the fish takes the bead (bait) and then is hooked in the corner of the mouth, in a position that the hook is easily removed, not necessarily outside the mouth. The people I know that fish pegged beads place the bead close to the hook, like two finger widths. The rig is fished exactly how one would dead drift a nymph. When a strike is detected they set the hook. I fail to see a "bad" action or intent.