Most partners will have their own sort of debriefing after each call, and sometimes this will take a while (days or weeks) on really bad calls or calls that just seem to get to you. I think that CISD as a whole is a good program and can potentially be great resource to have on hand post mass casualty incidents. With everything that we see out in the field it can be difficult sometimes to leave everything at work. Sometimes there isn't anything we can do about it and some of it makes it through the front door into our homes and our personal lives.
I don't see a situation where having a CISD program in place would be a bad thing.
Why make someone relive a stressful call?
I don't think there is a benefit to CISD