Well, regardless of how these characters evolve, they should always be heroic. That's the whole point of their existence. So, when a movie has Batman, a character who is supposed to be a hero, killing over 20 people, then its NOT a good take on Batman. Even the first season of the Punisher on Netflix made Frank Castle, a character who does kill a lot in the comics, more likable than DCEU Batman.
And its not just the "I don't know if I can trust humans" bit from Superman. Although, yes, that does make him seem out of touch and inhuman. If the world was ending and you had the chance to save it, would you not immediately help out because this planet is your home and you care what happens to it? DCEU Superman has to be told to care about the planet that raised him.
But its also the fact that he seems to not even understand human custom or behavior, despite the fact that he was raised by and around humans. He acts like an outsider, but it doesn't make much sense. He needs Lois to explain sarcasm to him, he doesn't seem to have any relationships or friendships to speak of outside of Lois despite 30+ years as an Earthling, etc.