Do anti-ship drones sometimes intercept enemy energy shot weapons?
Weapon collisions exist in the FTL. They're very unlikely, but they can happen. The projectiles and even drones from opposing factions can annihilate each other, as can asteroids.
This is a contrast to Defense Drone, whose role is to shoot down Missiles, Boarding Drones, and Asteroids. It's a further contrast to the Defense Drone Mark II, that can shoot down incoming lasers.