Before Moneyball there were other controversial stats, largely driven by Bill James. By and large they had the same footprint you're describing. In any particular game they were such a small effect as to be meaningless. But of the course of a season? That could be the difference between playoffs or not.

The one that pops into mind offhand was putting the "cleanup hitter" as leadoff, even though at the time "leadoff hitter" was a very specific physical archetype as was the "cleanup hitter". Yet the latter was often the best hitter on the team, and by putting them top of the batting order they'd get more at bats over the course of a season.