I agree with helping people, especially those burned out because your own management pressured on them. And it is also true that a lot of demotivation happen when management is bad and those people start working good once they are in better environment or more suitable position (it positions are not made equal and one can excel in one and fail in different one).
But sometimes, laziness is the thing.
My original point was meant to be that as long as you think about out productivity, have somewhere back in your mind that something should be produced today, you are fine and not in that worst performer category. Because you are trying and that will keep you away from such fall. It was meant to be reassuring in some way.