I have no problem with a sloppy and angry Batman, especially in Year Two (or One) as he's not yet THE Batman. He has one goal, not one rule.
The Joker is the "learning curve point" where Batman has to establish his morality and his philosophy and commit to being Batman over Bruce, before that Batman is taking advantage of his vigilante state, technology and advanced human genes to do what the police cannot or will not do and that's target the corruption of Gotham. He sees an endgame that is nearby, not that this will become a lifelong mission of endless ever increasing rogues, let alone the development of a family. Combating mafia thugs is his thing, not supervillain armies of equal status.
One thing I like that Reeves is doing is putting little cameos from a bundle of those rogues into this to show them "before the Batman" so we can see them in future films as his rogues gallery. And The Riddler is a good character to be able to start off a crime epic that culminates elsewhere. The Riddler makes Batman have to learn to think while others like The Joker or Bane battle him in many more ways, so their early introduction into a "realistic" Batman is tough as Nolan discovered.