Yes, you need a 100% balance between analytics and what is going on in real life on the field. If a guy has a history of striking out a specific batter 10/10 times, but he's struggling to get the ball over the plate, odds are that you probably should get a new pitcher. Having analytics that say pull a starter out before the 3rd time through the order is fine, but it can't ignore recent history of a bullpen pitcher's struggles. If Cash went to a reliever that had been dominating recently, it would have made much more sense.