It depends on the hardness rating. GG has a hardness rating of 7H-8H. I use the MIME Ghost Glass on my S4 and it has a hardness rating of 9H. Only something of equal or higher hardness rating can scratch something but it's only 1H higher so it would have to be gouged into the screen for it to get scratched. So a tempered glass screen protector likely wouldn't scratch it.
I've cracked 2 ghost glass protectors and the s4 screen is flawless still.
Galaxy Note 10.1 32GB 2014 Edition
Retired Phones - Now are WiFi Google Voice Phones, Control my AC and heater and PS3 Controllers