The Netflix shows were ashamed they were comic book shows, they tried their best to not use any comic names at all as much as they could. The most comic-booky one was the one they put the least effort into (Iron Fist) which says a lot.
Daredevil series having "Daredevil" as his nom de gueurre, along with the costume, was comic-booky enough that I was impressed by well it made comic come to life.
Jessica Jones series was pretty close to the Jessica Jones (2016) comic. Trish as Cat was pretty comic-booky.
Luke Cage series mentioned "Hero for hire" and "Power Man", albeit just once each in casual conversation.
Defenders series had "The Hand" as pretty prominent.
The plots were mostly straight from the comics and wouldn't be seen on a police procedural.
Still, I take your point. The shows didn't go out of their way to show a world where superheroes were a thing, certainly not the way Hawkeye is done.
Anyways, does anything thing they'll bother explaining how Fisk got out of prison and returned to power since the last time we saw him in Daredevil? Matt forced him to agree to give up on ever leaving otherwise Vanessa would fall with him.
I think what is more critical for Matt is Fisk keeping his secret and leaving Karen and Foggy alone. If Fisk just managed a parole (probably with a little influence applied) Matt has to weigh going after Vanessa against starting a new war with Fisk, putting his friends in danger, and having his identity revealed. I think that would be pretty complicated to just drop mention of in Hawkeye or any non-Daredevil show or movie. I would think they'd just avoid the issue unless they have to actually confront it.
ETA: Just read your latest post. I especially like #2. Fisk has to realize, as much as he'd hate to admit it, Matt exposed him and got him convicted, as well as beating the tar out of him twice. Better to not poke the sleeping Devil.
Noticeable in our last episode Clint and Kate seemed to know exactly who that guy in the picture was and what it indicated, so to some extent what happened in Daredevil (Fisk exposed as a dangerous criminal) must have happened.