The cooperation can come from an understanding of the tool -the DFMEA- or by pressure from management.
To me, that spells out fear, and in my experience not much good normally comes out of that. Yes, it would look like cooperation, but more likely it would be just going through the motions, just to get through and be done with it. FMEAs tend to be resource hungry - a group of highly-paid professionals sitting in a room for a significant number of hours (maybe on multiple occasions). That would be a silly waste of resources just for the sake of appearance.