I've read that story on the old board. Logically, we're supposed to think it's Dick talking to Bruce. Then Alfred shows up and we realize Young Bruce is talking to the Scary Bat-God That Lives In Bruce Wayne's Head.
Another unsettling part of the story: Young Bruce: It wasn't my fault! Scary Bat-God: Yes it was.
Adding things like "It was Bruce's idea they go to the movies" or "It was Bruce's idea Martha that wear her pearls" etc. etc. to the origin gives a sense of penance or atonement to why Bruce became Batman. It's Bruce Wayne's fault his parents were murdered, so he has to spend the rest of his life fighting criminals as punishment. Deleted scenes from BATMAN FOREVER covered this, explaining the ending line "I'm Bruce Wayne and Batman. Not because I *have* to be, but because I *choose* to be."