Great suggestion, Andrew. We'll definitely look into this. I've added the issue to our list here:
As a workaround you can use the video button on the RC to start/stop recording before and after the mission. Right now we're getting ready to push saving/sharing to the app store and after that we'll look into this suggestion. In the meantime, if you haven't messed around with saving/sharing you can do so here:
Thanks for the suggestion.