Originally Posted by El Payaso
It doesn't because that is the same armoured bat-suit created by burton, used by him, Schumacher and Nolan (with many variation of the original concept) but gray. That is not the traditional comic suit. Now, after 1989 many comics have depicted the bat-suit as an armoured suit but you know who to thank for for that.
That manip is supposed to show a fabric-based Batman costume with armour underneath the costume, which is what he does have in the comics. True, Tim Burton may have popularised the armoured Batman costume (even though Frank Miller had Batman with armour underneath in The Dark Knight Returns, in 1986) but it is part of the comics now.
My philosophy is: as long as it is comic accurate, it doesn't matter how they rationalise it.
Of course, there are certain characters where it would be impossible to adapt the costume without changing the tone of the movie.