I hear this a lot, along with comments about self-driving cars being unusable because 'people will run in front of them to make them stop', and I just don't get it. In what country would it be deemed legal and normal for people to shoot down drones? Do people take pot-shots at light aircraft? Why would people suddenly want to shhot at drones? The same with self-driving cars - people don't run into traffic to make human drivers stop, although they would certainly try their best not to run you over, so why would they start doing it with self-driving cars. I've also heard the argument that people will vandalise the cars, destroy the LIDAR sensors and so on, but yet we don't have spates of people throwinf paint over the windscreen of normal cars. I think it says more about the mentality of the commentors that about the peeibilities for automated vehicles, flying or driving.
Shooting down a drone is like throwing a rock in a window or graffiti. In a lot of areas, those crimes are a huge problem.
I don't think it would be at all routine. But I can imagine trouble-making adolescents doing that (here in the US). Probably wouldn't be make-or-break for drones. But it would be an interesting challenge for Amazon -- how can we retrieve this equipment and how can we investigate its attack/distinguish from part failures?
The Amazon drone won't take off unless you confirm in advance (using the app) being able to accept the package, and you need to enter a code at arrival for it to release it to you. I am sure the drone can call for help, and keep lots of video and other evidence of what happened to it.
Ultimately, Amazon just calculates the loss of 1/10000 drone packages into their profit calculations.
To top it off, they will simply not work on most days in Northern Europe, where rain and strong winds are common. I think the evolution of airplanes (which "we" believed would soon replace cars, back in the '20s) showed the problems we will always have with flying: it's a messy affair at the best of times.
I applaud Amazon for its faith in robotics, but I'd argue that we're more likely to get self-driving vans (which will either carry a very relaxed delivery guy, or will let people like supers open van doors with a code), or other incremental disruptions, before we see a wide deployment of delivery drones.