Okay, I'm just going to throw a big NO out there.
This is the scene we're talking about: a woman says Blake should go by his legal name - Robin. THAT'S IT. I realize that the common form of the word easter egg is that is hidden, but I think the main definition I'm trying to use is that it's a little in-joke that is of no consequence to the film.
Okay, I'm trying to calm myself down because what you're saying is so wrong it just makes me want to put everything in caps, but then you probably wouldn't read it.
There is absolutely nothing to imply that he is Robin. If you watch all three films, everything is built from the ground up. Never is the audience forced to go off prior knowledge. In other Batman films you know why Bruce Wayne is Batman. But in Batman Begins, they tell you why. Why did they do this? Because this is a self-contained trilogy. It tells its own tale. So when the lady says his real name is Robin, first of all she is NOT knocking you over the head with this fact AT ALL (I know you're trying to be funny here but I saw absolutely zero cheesy falsetto "He's Robin Motherf*****!!!" or anything that even remotely resembled that), what is happening is nothing more than a joke for those in the know. As this is a self-contained trilogy, that has never relied on information not shown, there is nothing ANYWHERE TO TELL YOU THAT THIS MAN WILL BECOME BATMAN'S SIDEKICK, AND THAT HIS NAME WILL BE ROBIN.
What they DO show, is that Bruce Wayne has made it very clear that it doesn't matter who's behind the mask. They also show that Gordon was given a new BATSIGNAL. And that Blake was given the BATCAVE, and when he goes in, BATS swirl around him just like they did to Bruce in Batman Begins. If you paid attention, it is very, very obvious that he becomes Batman.
So, in conclusion, there is nothing anywhere to imply that Blake would become Robin (he already is!), and there is no reason to think this this is a legitimate complaint about the film. As is, it's a JOKE that probably shouldn't have been included because clearly people don't understand the point of in-jokes, and they let them get in the way over their film-watching because they must not not how to watch films.
Good day to you, sir.
(sorry in advance for my attitude)