Daredevil: Large portions of Hell's Kitchen were destroyed during the invasion. Stark Tower is located in Midtown Manhattan. That means the Chitauri spread out a lot further than the 3 blocks Captain America said contain the fight to.
First off, just because their stated goal was to contain the fight, that doesn't mean they succeeded.
Second, even a 3-block radius would be an enormous amount of destruction. The impact of the 9/11 disaster was probably comparable to that. There's not only the immediate danger from building collapses, there's the health hazard to the populace for days or weeks thereafter from all the dust and the toxic building materials and chemicals and combustion products released into the environment. TV and movies tend to ignore this, but the collapse of even a single skyscraper is an environmental disaster. Three blocks' worth of the city being destroyed would have a massive impact on the rest of the city.
Third, aside from the physical impact, there's the economic impact. A disaster like that could send the city's economy into a deep recession. That's what I've always assumed to be the main impact on Hell's Kitchen -- not the physical damage, but the economic impact reversing the increased prosperity of the neighborhood.
Jessica Jones: Characters assert a high death toll (probably relative given who said it) and that buildings were falling and people were crushed by debris. To my recollection, I only saw one building fall, and it was in the background, out of frame, blink and you miss it. It was right before Tony did his Jonah and the whale bit.
I certainly saw more damage than just one building. And the camera could only point in one direction at a time.
I laugh because compared to the devastation wrought by the Decepticons in Transformers 3, Kryptonians in MOS, and Ultron Bots in Age of Ultron, NYC got of really light; all in the context of the movie.
But
Transformers and
Man of Steel are terrible models for comparison because they exaggerate the destruction to a cartoonishly unreasonable degree. By any realistic standard, three blocks' worth of destruction in the heart of a major city would be a huge disaster and would probably have a very significant death toll. Remember the facts of 9/11. "Only" about a dozen buildings were damaged or destroyed, and there were a couple of hours to evacuate them before the collapses happened, but 2,606 people still died in and around the towers, including hundreds of police officers, fire fighters, and rescue workers in the hours after the attack. It's not remotely hard to believe that a sudden massive attack on a three-block radius with much less time to evacuate would have a comparable or larger death toll -- both the immediate civilian casualties and the accumulating casualties of rescue workers after the fact. Not to mention the long-term death toll from smoke inhalation, exposure to carcinogens, and the like.
So
Jessica Jones's claims about the impact of the Battle of New York make perfect sense if you base your comparison on reality instead of Michael Bay movies.
I enjoyed the series, though I wish they had captured the torture Jessica Jones was put through by the Purple Man more accurately. What he did to her in the comics was infinitely worse than what they portrayed in the show.
I don't know what you're basing that on.
Alias took care to show that Killgrave never actually raped Jessica per se, just made her watch while he raped other women. This show makes it clear that he did rape Jessica. So I'd say you have it exactly backward about which treatment was worse.