As with Daredevil himself, Jon Bertnthal’s Frank Castle didn’t properly adopt the mantle of The Punisher until late in Season 2, but might the character change his ways in time for the confirmed spinoff?
Bernthal himself says the Frank Castle we followed through Daredevil was very much not “The Punisher” as fans know him, though that could certainly change.
The Frank Castle you find in this story is not The Punisher.
Beating someone up to drag them into jail is different than someone who is exercising his rage on people.