hm… i own the larger model and recently fell with the iphone in hand. i landed on the corner of my couch table, cracked the cartilage of my ribs while the phone fell flat to the ground (face up) and slithered about 6 feet across the hardwood floor. no damage. (it was kept in a standard apple leather case and had only a very basic screen protector.)
the height from which i dropped the phone was at least 2 feet, most likely more and - apart from the distinct sound of my cracking ribs 😕 - the noise of the phone hitting the floor had me thinking that it, too, was broken. but nothing…
despite all this, it was not the first time i had dropped my iphone. so, i am wondering if there night be a flaw with the 1 you have. falling 2 feet and hitting a carpet should not result in a shattered screen - despite a curved edge. after all, this glass is not existing on its own but resting against a solid body.
very weird. i wonder if you could/should have it exchanged.