The movie is still 1.5 year away so they needn't hurry with any promotional material until probably December.
Although it would be cool if it took a page of TDK's book and had an interactive viral marketing campaign for The Batman*. I believe it created a lot of hype for fans back in the day and it expanded on the universe. It's not like Reeves isn't a fan of that with him directing Cloverfield which also had a great marketing campaign.
* They could, however, finally announce the real title.
Matt directing this Batman [is exciting], the cast is so awesome. It seems different from other Batman movies to me, just with the cast. There’s something about it that has an edge, it’s young. To me, just my perception of it, it reminds me of when I was in college, and I went to go see The Pixies play, and looking around and feeling the vibe at a Pixies concert. That’s what it felt like to me, a song like ‘I Bleed.’ That it has the energy and that sort of thing, and isn’t so specifically targeted to a very young audience, or a very old audience, but has that power of chaos in it. The Pixies were incredibly emotional band, and I think this Batman is very emotional in that way. I think it will be very powerful." -Peter Sarsgaard