Unfortunately, I can only confirm what many users have reported here. I do it by replying to igormp's message because in my opinion this picture shows exactly the kind of damage most people are complaining of.
I have something very similar on my screen too. As many others, I'm a long time iPhone user (owned 4 different models) and very consistent in my (cautious) habits with my smartphone. None of my previous devices has developed this kind of damage.
These screens "feel" absolutely DIFFERENT in terms of resistance to scratches; they appear EXTREMELY prone to scratching even in perfectly normal conditions, and scratches seem to appear out of nowhere. The feeling is bad. Personally, I have an AppleCare+, but this is hardly the point here.
A word or two about the scratches themselves might be relevant.
I'm under the impression that many (especially those who speak of this issue as non-existent) fail to understand what we are talking about. In my opinion, to speak of "glass scratches" is misleading. These scratches appear more like linear damages to some sort of coating above the glass itself. This coating is WAY softer than it should be, and even in normal conditions it gets these linear damages under conditions where no screen has ever gotten damage before.
Those who say "my screen in pristine after x days" should, in some cases, look better. These "scratches" are only visible under direct light, especially artificial, especially warm. For some reasons, colder hues of artificial light and direct sunlight make them almost invisible. This reinforces the idea that we are looking at a coating damage.
I'm pretty sure the glass itself is undamaged: this is very superficial damage, and nonetheless it creates an unacceptable user experience. In the end, the screen is scratched, as superficial as the damage is.
Moreover, if this is the case (i.e. we have a botched coating process from an industrial point of view) the solutions is very difficult from a user perspective. Apple (Cornish?) should acknowledge that the process is botched, find a correction, apply and test it, ship the new material to assembly plants. In the meantime, thousands of units would enter the market sporting the "old" screen.
I'm afraid we won't see an end to this.
How THIS can have passed through QC, I ignore. These screens have an evident problem. Denying it won't help, it just risks to infuriate customers.