The conventional wisdom is that right- and left- handed pitchers pitch "better" (low ERA) to batters of the same "handedness," (because pitcher prefer to pitch "inside.")
The game (Pittsburgh vs. St. Louis) is in extra innings. Pittsburgh leads 2-1, having scored a run in the top of the twelfth. Pittsburgh has a right handed reliever, Rhadames Liz, who gets "one on and one out" against two right handed batters. It's down to the last two outs.
The first, second, and fourth batters coming up (Kolton Wong, Jon Jay, and Matt Carpenter are left-handed); Peter Bourjos in the third spot, is right-handed.
Pittsburgh has two left handed relievers who have worked one inning in each of the two previous games, but only a total of three innings each in the previous week. Why not use one, or even both lefties to get the last two outs?
Liz gave up a single and a walk, loading the bases, and then a single for the tying run in the 12th. After pitching a perfect 13th, he gave up the losing run in the 14th because the Pirates couldn't score.
One more consideration: The following day (today) is an off day, giving relievers a chance to rest.
Would a general manager have reason to question a manager for 1) violating the conventional wisdom about right- versus- left handed match ups and 2) NOT playing to win or lose the game in the current inning to spare future relievers?