The way everybody talks about "The Incident" (first Avengers movies) makes me think it just happened, and this is way before Civil War and the Sokovia Accords.
It's fifteen years later and people still talk about 9/11. It became part of our civilisation's mental landscape and I can only imagine the impact it continues to have on New Yorkers.
In the MCU, "the Incident" was only three or four years ago and it was a hole in the sky, aliens tearing up the city, fighting with a billionaire in a robot suit, a green monster, an actual Norse god, some guy from 1940's bubblegum cards and a pair of government black-ops assassins. I don't see that fading from the local mindset anytime soon.
The Sokovia Accords bombing and Rogers going rogue would have been big news, but just like most sad headlines from abroad, it lacks that scale or immediacy.
Remember that these are all New York based shows so all but the youngest kids were probably in the city when this happened and saw it with their own eyes.
ETA: Just started re-watching Daredevil season 1 and there's a line addressing the above right there in the first 11 minutes: -
"The incident"? Is that what we're calling it now?
Well, it sounds so much better than "death and destruction raining from the sky, nearly wiping Hell's Kitchen off the map."
Shorter, too.
So it seams the euphemism is a fairly recent development and seemingly just a New York thing as I suspected. Also they specifically mention that it's been 2 years.
Incidentally: Turk is much more of a scumbag than I remember. I forgot he was introduced as a human trafficker, tasering helpless women. I'll have a better idea when I get to season 2 but I get the feeling they toned him down later on from irredeemable scum to more of an amoral opportunistic, but mostly harmless rogue. Less Marsellus Wallace more Starscream.
I can only presume the showrunners liked what the actor did and decided to bring him back, but toned down the villainy a few notches so it's credible he'd still be back out on the streets in short order.