Earlier quoted context omitted.
I'm thinking the same thing. You don't even need to fully destroy the drone, if you manage to damage the camera sensors or the exposed lithium cell it's game over for the drone.
Maybe not completely, at least not for the camera sensors. If it has good enough initial targeting data - or a good enough last image from the camera - it may be able to find the target by inertial navigation from there (depending on laser range, of course).
Or miss by a long shot and hit a civilian instead.