Dunno about them being completely anti-drone, but at least one person was worried about the drones camera:-
> A parent said their teenage daughter feared using the swimming pool because of the drone’s camera. (Amazon says it faces forward, not down).
But Amazon (and to be "fair" to Amazon, pretty much every large tech company) has had issues with data processed by their devices which the users of those devices wouldn't want handled by humans. Pretty much every smart speaker has had incidents with their reviewers being given access to voice recordings not intended for the speaker, in some cases it being recordings of kids. Tesla workers shared sensitive images recorded by customer cars.
So yeah, I too would be wary of what imagery drones flying over my private space would be taking. Sure Amazon says the camera(s) only point forward, but at this point I'm not surprised people trust tech companies as far as they can throw them.
EDIT: My follow up question to Amazon about the camera(s) on the drone would have been "If the camera only points forward, how does the drone determine that the drop off spot for any delivery is safe at the time of drop off without "looking" down?"