Perhaps I'm part of the problem in some ways: To conserve battery, I've made LOTS of changes, including turning off Diagnostics & Usage info. I've turned that on now, on the off chance that Apple will see my phone amongst all the others that are having this problem. Seems like a good idea - if everyone else complaining about this problem also has diagnostics turned off, maybe Apple doesn't really have evidence of the issue. Who knows? Maybe turning diagnostics on will fix the problem!
By the way, the issue is so frustrating because I can't even unlock the phone reliably without the touchscreen working. My touchID has always been unreliable. I won't be surprised if I have trouble upgrading to a version that fixes this, since installing an update requires interacting with the touchscreen. If Apple can't fix this problem on my phone, I may need to take advantage of Applecare and get a replacement phone. But, from what I've heard, I'm not convinced that a replacement won't have the problem once I restore from my backup. And I really would prefer not to start from scratch.
My wife has exactly the same phone, and she doesn't have this problem, so there's SOMETHING about the way this phone is configured. Wish I knew what it was! If it were a simple setting, such as the Switch Control, Assistive Touch, or Touch Accomodations settings, I would change those in a heartbeat! Is it possible that Apple added a battery-saving setting that turns off the screen touch detection, that's controlled somewhere that we have access to? Are there any preferences that anyone knows about to manage touchscreen sensitivity?