Note 3 is gorilla glass protected, so I don't use any screen protectors. In the first time of using I didn't trust gorilla glass, so I tested several screen protectors. They all did a good job but weren't needed.
In the last two years my phone had many accidents, but the screen is clear as first day.
I think it is a way of trusting to the gorilla glass, see how it protects and learn more about it