It all it applies to that, he's a shit detective.
Batman: Everybody the Riddler has been apprehended!
Reporter: Awesome, did you manage to stop him from killing anyone else?
Batman: No, the Riddler successfully managed to kill every one of his targets on his list, well except for Bruce Wayne. 😏
R: Did you find out how he killed all those people on your own?
B: Well, he told us how he did it complete with live video tapes.
R: You at least discovered his identity in time, right?
B: No, we were unable to identify his true identity prior to apprehending him.
R: How did you end up catching him then?
B: Funny story, he turned himself in and then confessed again to everything with detail.
R: So, what exactly did you do?
B: I solved all his riddles. I'm really good at solving riddles, puzzles, really any sort of game.
R: Okay, but at least he's not committing any further crimes now that he's locked up, right?
B: ...
R: Right?!
Like, okay you spotted ecchymosis before the medical examiner looked at the body. But did you actually solve the case? Did you prevent a single murder? Did you personally apprehend the killer? If not, then you're a shit detective.
Reporter: Awesome, did you manage to stop him from killing anyone else?
Batman: No, the Riddler successfully managed to kill every one of his targets on his list, well except for Bruce Wayne. 😏
R: Did you find out how he killed all those people on your own?
B: Well, he told us how he did it complete with live video tapes.
R: You at least discovered his identity in time, right?
B: No, we were unable to identify his true identity prior to apprehending him.
R: How did you end up catching him then?
B: Funny story, he turned himself in and then confessed again to everything with detail.
R: So, what exactly did you do?
B: I solved all his riddles. I'm really good at solving riddles, puzzles, really any sort of game.
R: Okay, but at least he's not committing any further crimes now that he's locked up, right?
B: ...
R: Right?!
Like, okay you spotted ecchymosis before the medical examiner looked at the body. But did you actually solve the case? Did you prevent a single murder? Did you personally apprehend the killer? If not, then you're a shit detective.
EDIT:
I just also realize how much of a drama queen The Riddler is in the film.
After he shoots Falcone, he bolts from the apartment which the police try and chase him and lose him. But then he proceeds to take off his mask and sit in a diner with the intention of getting caught. So, other than the sake of being a cool shot, why did he run all the way to the diner when he could've just surrendered in his own apartment?