At 200 feet, the spread on a horizontal shot is ~100". If this is 9 pellet buck shot with a perfect spread that means you have a bit over 4 feet of air between each of those pellets. The drone is what, 20" wide? Even a perfect shot has better than eve odds of missing at that distance.
Given a vertical shot where gravity is pulling each pellet even further out of the pattern and it would be a miracle to hit anything.
So switch to bird shot. Figure just over 1.5 oz of lead bb shot in a 12 gauge 3" shell, that's ~80 pellets. Significantly more likely to hit, but at 200 feet, the .56 grams of a pellet is moving at roughly 600 fps between air resistance and gravity, which is just over 9 newtons (2 pounds) of kinetic energy hitting the drone.
This is also assuming that the guy is using the largest commonly fielded bird hunting combo. If he's using a 2.5" or 2" shell, the numbers drop even more.
I would be quite surprised if someone pulled off a 200' vertical shot, hit, and did substantial enough damage to take a drone out of the sky. Yeah, commercial drones are wimpy, but not /that/ wimpy.