Yes, but even the Year One, Year Two Batman was a fighter. I think that because we've seen so much of "action Batman" in he movies, we've not really seen "detective Batman" much. If you don't read the comics or play the games, there's very little sense of that in the movies. I think Pattinson will go too far the other way, and there's lots of reports of trouble on the set. Pattinson seems to really not want to be there.
I think the closest version of Batman to the one in my head is the
"Dying Is Easy" Batman, as that just embodies the main comics version of Batman. He's big and imposing, but also fast and clever, and always thinking ten steps ahead. He's not just going to out-punch you, he's going to out-think you, and he's just a little bit on the right side of being a villain.
I echo a lot of fans that say just give us a Batman series that shows him in his prime, being a fully realised and complete Batman.