The new Batman costume has a very armored look just like Superman's new costume. However, the changes in Batman's costume will likely meet with much less controversy than the Superman costume changes. The problem that a lot of fans have with the Superman armor look is that an invulnerable man shouldn't need body armor. However, it makes sense for Batman to wear body armor, and it's something that has been incorporated into past versions of his costume.
In fact, much of Batman's new costume is very similar to design elements that have previously been used in either Batman comic books or Batman movies. In the past, different artist have always experimented with making tweaks to Batman's costume without much fanfare. The new Batman look actually looks very similar to the image of Batman in the Christopher Nolan movies.