I remember commenting on this in the GDT. Nobody will criticize him for it, because most managers probably would have done the same thing, but leaving Tillman out there for the 5th inning was not rational at all. I think everyone recognizes that Tillman is a worse pitcher than Givens, Brach, O'Day, and Britton. He managed to get you through 4 innings with a 1-run lead, which meant that he had carried you just far enough that your horses in the bullpen could close it out. Take him out, and let the better, fresher arms finish things off.
Everyone is talking about how being a slave to the save cost him, but being a slave to the win is the only reason he was in the extra innings game in the first place. I think we all know that if Tillman gets through 5 and puts himself in line for the W, he was finished.