nope, cos the public doesn't know him. If not they would have called him Daredevil as the news did at the end of season 1, so this is def pre-season 1 ending.
I would say after Daredevil starts his crime fighting career, but before the big explosion in Harlem, as that makes the crime rate grow like crazy.
Also even if NIHW assumes it's the Avengers, they CAN'T be:
- Hawkey and Natasha and Bruce Banner works for S.H.I.E.L.D. at this point (the new one ruled by Coulson).
- Steve Rogers is searching for the Winter Soldier, so nope.
- Thor is in semi-retirment with Foster.
- Tony is in semi-retirment with Pepper.
The Avengers got reformed just before the events of Age of Ultron According to AoS Season 2.
So with the only option available to fighting crime being DD.