Agreed. Cooper has to resort to the use of hyperbole too. It wasn't killing anyone. It was hurting the bullpen.
The thing about Cooper's comments, IMHO, is how reluctant he was to let a starter get out of his own mess (the Anti-Dierker). If he had to burn the pen to get out of a situation, he would do so ("he" meaning "Cooper"). So Coop is just trigger happy when it comes to warming guys up in the pen to get an inning back in line. He can't help himself... he doesn't know what it is like to manage an game from a pitcher's perspective. LaRussa listens to Duncan, Leyland was a former catcher, Scocia the same, Dierker a former pitcher, etc. Cooper is a former LF and First baseman... so he thinks like a position player when he reacts to in-game situations.
Drives pitchers (and catchers) batty. So if Cooper is worried about the pen (and I don't doubt he is, I think he's sincere), then he needs to look in the mirror and say to self "I gotta listen to Dewey more... I don't know what I'm doing!".