No, we don't have airports in city centers because airports are enormous and noisy.
For years Edmonton had a municipal airport close to the downtown used mostly by small planes, even with the small planes there were height restrictions on the buildings in the downtown. Now this is much more a concern with landing and takeoff rather than flying at altitude, but landing and takeoff are dangerous and that's a factor they consider.
As usual, the whole "drones will fall on my head" thing is luddite horseshit based on little to no evidence from the real world.
I'm not even sure how to respond to this, I offered specific reasoning based on economics and the reality of hardware failures and you just called it "luddite horseshit based on little to no evidence from the real world". You didn't even offer me an actual point to counter.
Did you mean the part where there will be lots of drones in the sky above cities? That's a question of economics and how the usages develop, I don't think assuming a big market is "luddite horseshit".
What about thinking that some will fall out of the sky? Surely the drones in Amazon's fleet won't last forever, how do you expect them to be pulled from service and recycled? Don't you think there's going to be companies looking at the slightly less reliable drones and thinking "rather than buying a new one I'll accept a 0.1% this drone will spontaneously fall out of the sky in the next month".
Or maybe you think the actual falling won't be a problem. If it's a low population suburb you're probably fine. If it's a downtown during rushhour, it might be pretty hard to find a safe place to drop a 20kg object.
If you're going to call something "luddite horseshit" then please be specific about what the actual horseshit is.