Uh, the screencap definitely isn't teensy-tiny. It's quite clear what the headline says.
Although I don't know how "at some point after Agents of SHIELD's first season" has turned into "shortly after."
Well, correct me if I am wrong, but was there not a reference to the Battle of New York as having happened two years ago in the first episode of DD S1?
If that's the case and the Chitauri invasion happened roughly two years prior to DD S1, and if DD S1 is set some time after AoS S1, then that implies a relatively short time frame -- long enough after AoS S1 that at least some legal fallout ("Cybertek Settles") could have happened, but not so long that people would be more likely to refer to it as having been three years instead of two. So in other words, it's probably set some time in 2014.
Add to this that the weather in DD S1 precludes winter, and add the presumption that SHIELD fell in April 2014 and that AoS S1 concluded by May 2014, and I'm thinking that gives us basically a six-month window during which DD S1 could have taken place -- some time between May and November 2014, give or take a month.
(Side-note: Why is Cybertek "settling" anything? If the U.S. government has been given conclusive evidence that Cybertek is a front organization for the terrorist group that just tried to kill 20 million people and overthrow the government, why did the FBI simply not seize all of its assets and arrest its personnel, and the Treasury Department freeze its accounts? Is the MCU's U.S. Justice Department even more toothless than its real-world counterpart?

)
Besides, this is all happening pretty much in real time. The Insight incident and the fall of SHIELD happened in April 2014, a year before the events of Daredevil. The Ultron affair happened shortly after the events of DD. Granted, DD isn't quite in real time, since it was all released on the same day but spans a few weeks. But if we assume it spanned roughly the month of April 2015, then it's a year after Insight and it's before Ultron. So I don't find it implausible at all that they weren't talking about the events of the movies.
I think it's a bit of a stretch to think that national security issues weren't leapfrogged to 11 after the Project Insight debacle, where not one, not two, but THREE flying aircraft carriers armed to the teeth crashed into the Potomac less than 10 blocks away from the White House, and less than a year after the sitting Vice-President tried to have President Ellis assasssinated. Even for a comic book universe, that's pretty fucked up.
Anyway, in regard to Daredevil, all it would have taken would have been some news report mentioning an "alert level" similar to the "Terror alert" warnings that used to be broadcast daily in the weeks after 9/11. I'm mostly ok with the fact that there wasn't any such mention, but at the same time I find it highly dubious that even a year after all those events taking place, there weren't some holdover ramifications.
This. I mean, one of the reasons 9/11 dominated day to day life for months after the attacks was that it felt like it could happen to "you," whoever you might be -- the people targeted were folks who worked in office buildings, after all. And who did Hydra come within a heartbeat of killing? 20 million people. Sure, some high-profile types -- but the overwhelming majority were just regular, normal people, and they were on the largest hit list in history.
Finding out that a giant treasonous conspiracy within the government came
this close to killing 20 million regular people (who could have included "you!"), while at the same time collapsing what just might be the most powerful and secure military organization on the planet, destroying their version of the Pentagon after holding an air battle over the skies of Washington.... I just do not buy that people would treat that as just another news item.
Now, yeah, ultimately I don't mind
Daredevil not overtly referencing it, insofar as I feel like DD has such a different tone and style that a crossover feels incongruous, like doing a crossover between
True Detective and
Castle, or between
The Sopranos and
Law & Order. But I'd be lying if I said that the absence of any references to the Hydra uprising felt realistic to me.