One thing I found supremely helpful in my varied experiences was having an engineer step up to be the single voice who starts running things and coordinating.

Some companies have a NOC or support person run calls, but they often feel nervous and just ask sheepishly for updates.

Having a principal or eng manager run the call gives it a different, more commanding feel. They better understand the system and start calling people and teams by name. They also aren't talked down to or snapped at like people tend to do with support people, sadly.