It's the art of persuasion and your explanation follows the same script as Ripley's!
First, you're open-minded when a show starts. Second the narrator says something outlandish (satellite facial recognition) and you can't help but roll your eyes. Third, the narrator then rebuffs the outlandish claim (leaked to protect) to reinforce your skepticism and then further repudiates the claim with, "How could an algorithmic facial-recognition program ever instantly launch an unmanned drone in time to make the kill? It's crazy to believe!"
Then your pessimism is disarmed and you become open-minded again. Then you think, "But wouldn't it be awesome if it were true! Bait, set, hooked.
Fourth, the narrator tosses some numbers for plausibility: 25 cm...1 cm...details on clothes (Osama's clothes?)...trash on the ground (Osama would be bigger than trash!). Besides, what would you really know about satellites? Satellite positioning? Orbits? I don't know but 1 cm sounds pretty technical!
I don't know if this is true. I do know satellites are tens of thousands of miles above with clouds, trees and shadows in between and would need to be at a low angle to see a face...so it'd be a one-in-a-gazillion chance anybody in a country of 37 million people would be OBL.