And I think even with the cape thing, that I actually thought for years was just a jacket tied around her waist, the outfit is still more practical for fighting than the original. Not saying I like it better, or that practicality plays any roll in FF outfits, but there's no denying that.
When it comes to outfits and hair, those are all things that Tifa could have reasonably decided to do. Girls I know get haircuts all the time when I would have preferred they kept it long. So even if its something you or I don't like it, even though I get your point that SE still designed it, but I still don't see it as a betrayal of the character.
The eyes she couldn't change short of special contacts, which I feel like would be hard to obtain in Gaia's current state