If a Staged Mission has 0 sec briefing time, maybe skip taking them to the briefing to only look at a closed curtain for 2 seconds before spawning them. Could seem confusing to people, like "What was that for?"
For things like a quickie dogfight mission that you want to play over and over again, seems unnecessary to make a pointless stop by the briefing room.
Unless they are putting out coffee and donuts.

Hmm just spit-balling on this same use-case (wash, rinse, repeat) ... maybe if a mission ends with a player death or bail (maybe only in offline), popup a message "Want to restart this mission?" and if they choose yes, just restart again with same parameters as before. If they want to change anything, they can choose no, and go back through the normal UI.
$0.02,
CptTrips