I wouldnt even go so far as to call Bale's Bats less capable. I'd be willing to bet if Bale's human body was capable of jumping 10 feet in the air and throw several batarangs (of many different varieties) with pin point accuracy... Then he would be just as capable as comic book Batman. But since the human body isn't capable of this, a realistic Batman might look something like a fool in a Justice League film.
Bale's Batman is also dumb as bricks. Comic book Batman is almost unnaturally sharp and perceptive. So, aside from comic book physicality, he would need a comic book brain.