This does suggest that subjects who are bought into and understand the purpose behind what they’re doing, and are attentive to how the specific tasks they’re doing tie into the bigger picture, are more likely to be actively engaging their judgement as they go. And subjects who are just trying to follow the tasks as given to them are sort of washing their hands of the outcomes as long as they’re following the directions (which is, ironically, causing them to fail at following the directions too).
Hence why large organizations commonly compartmentalize things to the point that people don't realize they are working on an orphan crushing machine.