Unfortunately I am unable to reproduce this issue, but hopefully this ticket will shed some light on the issue.
I was playing the helicopter showcase, and the game auto saved. I crashed and died soon after that, and so I selected "load." I selected the autosave (it was the first one to happen), but upon loading in, I appeared underwater, and as a result I instantly died every time I loaded. My suspicions were confirmed when I checked the map and saw that I was spawning at grid 000000, as if my location data hadn't been saved.
I pressed "end," returned to the main menu, and resumed the mission once again, where it worked properly.