I can almost never use my drone in pvp - 1 game in 20 maybe. In pve it's better, but I've still lost it 1 time in ~8 sessions. This has been since the very start of the final release and all the way through to level 80, so I've replaced my gear many, many, many times over.
This has been since the open beta when there were reports of the same issue. There's really nothing to video - you pick up a drone in pvp, you press the button, and nothing happens. I've also tried remapping the key to something else with no effect.