no matter how many people say they got no scratches, never go without protector. they are either blind, lie or can't place the phone in right angle to see those scratches.
i always buy protectors because of the scratches and not because the screen could crack.
on my s4 which has gorilla glass 3. i haven't had a protector for the last year after using always the same protector 3 years before.
since then there aren't any hard scratch on the display or anything but i notice alot of fine micro scratches but only when i put heavy light on it and hold it in the right angle.
i have used it much, but mostly at home and also kept care of it. still it happened.
as far as i know and have read this isn't any better on the newest gorilla glas 5. so i will not risk anything and keep on using protectors.
for the note i just simply can't find anything good.
whitestone dome on the s8 was good, but overpriced, not friendly for every case, popped up after a few months or just cracked very fast.
not good enough for this kind of money otherwise it would be good is guess.
all other glass protectors are useless since they only stick to the sides and will force problems like bad touch, dirt underneath or popping up very fast.
then there are wet tpu protectors which i don't like. they are too thin and flexible. they just don't feel right, leave marks quickly and often got a yellow touch or rainbow effect.
also they will probably not stick long on the edges and are mostly not case friendly even if they say so.
so the only thing which i consider are the good old school tpu/pet protectors which are applied without any water or so.
i hope they will stick good on the edges and if they are case friendly nothing will pop up.
it's a little bit harder to get all the bubbles out but i rather put some time into placing the protector right and remove the bubbles then buying every few weeks a new one or even go without any.
of course they will also feel kinda cheap like plastic (it is plastic afterall) but atleast they are not so thin and flexible like the wet tpu ones.
for now i will try this one and hope it will be good. if not well then im fuc*ed cause i can't find anything else!!

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https://www.youtube.com/watch?v=DlsDqBQUwuU