It could be that Reeves is presenting a story of how someone like Batman would exist with today’s modern technology.
The photo of the taxi cab from the set comes to us from Brandon Davis on Twitter.
Adam West’s classic Batman series might scream ’60s, but the theatrical Batman movies don’t typically feel specific to any one particular time period from real life.
Setting the movie in the recent past could be a way that Matt Reeves is trying to ground The Batman in reality, perhaps much more so than Christopher Nolan’s Dark Knight movie trilogy.