First off, hiding the hair is a problem and not a characteristic of Catwoman? Am I understanding this correctly? Then what about her costumes in THE LONG HALLOWEEN/DARK VICTORY, BATMAN RETURNS (NO one seemed to have a problem there!), BATMAN: THE ANIMATED SERIES (both the grey and the black), and countless other times in the comics?
Much of your point seems to stem on the belief that the black catsuit is androgynous and lacks a strong sense of femininity, as well as lacking in sexual attractiveness and power. First off, Diana Rigg begs to differ.
Second of all, I can't possibly see how the catsuit is anything BUT sexy and purely female, much less cat-like. It's called a catsuit for a reason, and it lends her a cat-like sleekness!
So no, it seems to me that the Cooke Catwoman costume is utterly and completely in keeping with Selina's history as a character, while grounding it in a slightly more realistic, practical, and sexy outfit than a garish purple spandex unitard, a silly tail, and dominatrix boots.