There’s a little ramp on at least one edge of the socket that lets you lift the CPU so that you can then take it out. It may even be on both sides.
Voyager is giving me an error when I try to attach a photo, but it’s visible in the thumbnail for this video
I’ve had the issue with the plug falling out, actually bonked my Deck’s screen and cracked the protector while I was fishing headphones out of a bag on a flight.
I use a cable with a 90 degree tip and found that, for the outlets that are on the seat, I can attach the cable to the tray arm with a Clove Hitch to help the plug stay put and catch it if it falls.