I didn't spend a long time, but obviously you understand that the Joint Rescue Coordination Centres are co-manned, so you have the coast guard and CF personnel all working side by side.
With every incident that occurs and is reported to the RCC, there is collaboration. There is a determination of how the incident will be prosecuted. Because it's over the water doesn't necessarily make it a coast guard.... A lot of times you'll use an air resource, but the coast guard will muster those vessels that are available as well and coordinate that activity.
Throughout the whole operation they work as a team, side by side, and the coordination at the scene is conducted by an on-scene commander. That on-scene commander may be one of the crew members of an aircraft or they may be on one of the surface vessels.
You referred to a case, and there was a similar case that you probably have the background on.... But normally it's up to the on-scene commander to determine how to execute the rescue operation itself. But that is very coordinated, and they obviously report back to the RCC, which monitors the overall picture.
In SAR cases where there is a reason to believe there are anomalies or something that could have been done differently, if there is a SAR report warranted, it will be conducted. In that case, all the controllers who participated in the exercise will be involved in capturing what took place, and the report is actually built with the understanding that it's designed to look at what the recommendations may be to prevent, or, as you said, sometimes to acknowledge that things actually did work as programmed.