The old rule:"Targets must be scored by both score-keepers before arrows are pulled"

New rule:"Both scorekeepers must agree on a score,compare and punch the score cards before the arrows are pulled"

This is providing for two responsible parties in recording scores. I appreciate your logic concerning four responsible parties in a group. But that has not been the rule in the past. It is not now.
This rule is stipulating how the scores will be recorded, when the group agrees upon the score.
If you end up with a discrepancy on the cards, para. D will then apply.
ken12