Yes, many times video goes out first, anyway that's the way it should be to minimize losses. If video is lost I doubt anyone would give craft down left stick, only a moron would do that. I always climb higher to get video signal back. Descending is suicide in most any video lost scenario, so CaptainDrone's suggestion really isn't realistic. However, I'm sure accidental CSCs do happen. What's really dumb is DJI added "down left stick" + "RTH" combo to shut down the motors mid-flight, but didn't remove the two stick CSC to shut down the drone. That's really dumb, give the public another way to accidentally shut the motors off mid-flight. Good one DJI.
I never use CSC to shut down motors because I usually catch the drone with my right hand and give full down left stick with my left hand. It's kinda hard to give a two stick commands with one hand, unless you use a harness.