Yes, it has. You just can't see the damage. Your screen catches fingerprints easier now than it did before.
Apple recommends only a clean, lint free cloth for a reason.
No solvents.
No soaps.
No cleaners.
I just use windex just don't put a ton on it and wipe it with an old tee shirt just a little bit in the middle of the screen I only do it when it gets nasty I've had no problems yet...