DH as we know it—"Old timers day every day"— should be done away, but managers in both leagues should be allowed one pinch hitter AB without having to remove the pitcher, or a slumping batter. To add to the strategy, such a designated pinch hitter forgoes this strategy except for traditional pinch hitting duty the next two games. The manager, however, is allowed this option in every game provided it is a different bench player.
This compromise should make it acceptable to the National League because in this situation the manager might gamble away his best pinch hitter, but chances are the strategy would be not to waste his best bench hitter and save him for a more pressing situation. But what if the pitcher, still strong, or slumping batter is due up with the bases loaded in the fourth inning, might not the manager opt to put the game away—win ‘em while you can—and call on his best pinch hitter?