I have just had my 2 year old iPhone 6+ replaced under AppleCare due to a fading screen corner. The replacement phone has the touch disease that I have been reading about. The worst is in the morning when the alarm goes off and the phone is not responding to touch, even after 3 or 4 resets, the problem is still there. Then magically it will start working again. I contacted AppleCare and they will send another replacement. It's interesting that this problem would present on a new phone from Apple. I checked the serial number online and it looks like the phone was manufactured in October 2016, so I am guessing it should be new!? I thought I would post this to see if others had experience with new phones having this same problem.