While I agree that this is a problem, I think the bigger problem is in the offensive zone. The team is horrible at puck possession. The most success seemed to come from the rush. The forwards don't cycle particularly well, and the forcheck is almost non existent.
Detroit is 25th for CF%, and 9th for FF%. The team just constantly shoots the puck into defensemen. There's no offensive movement to open things up. Everyone just kind of stands around, loses the puck, and it's time for some more mediocre defense.