[Definitely, definitely not Batman. Not the Batman. But if someone were impersonating Batman, would they really approach a Robin, the one person who could blow their cover? And they'd definitely impersonate him better, or at least sound way more unhinged than this guy does.

Not Batman... or almost not-Batman. 'Or almost not me?'

Because, like Damian said, there can be more than one Batman. Which might mean...]

I like games. Word games, riddles-- I know: The Riddler should've ruined those for me, chess, Battleship.

Here's a riddle that I think you might know: what's the name of a Robin who doesn't smile?

[The answer is, of course 'Damian.']